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The table you provided asks to fill in missing values for population data, specifically calculating the proportion \( p \) in both decimal and percentage forms based on the formula:

\[
p = \frac{n_A}{n_E}
\]

Where:
- \( n_E \) is the total population of \( E \),
- \( n_A \) is the subpopulation of \( A \) within \( E \),
- \( p \) is the proportion of \( A \) in \( E \) (in decimal and percentage forms).

Let's go through the calculations for the missing values in the table:

### Row 1:
- \( n_E = 934000 \)
- \( n_A = 306352 \)

**Calculating \( p \) in decimal form:**

\[
p = \frac{306352}{934000} \approx 0.3281
\]

**Calculating \( p \) as a percentage:**

\[
p \times 100 \approx 32.81\%
\]

### Row 2:
- \( n_E = 5250 \)
- \( p = 82.4\% \)

**Convert percentage to decimal form:**

\[
p = \frac{82.4}{100} = 0.824
\]

**Calculate \( n_A \):**

\[
n_A = p \times n_E = 0.824 \times 5250 = 4326
\]

### Row 3:
- \( n_A = 27907 \)
- \( p = 0.59 \)

**Calculate \( n_E \):**

\[
n_E = \frac{n_A}{p} = \frac{27907}{0.59} \approx 47385
\]

**Convert \( p \) to percentage:**

\[
p \times 100 = 59\%
\]

### Filled Table:

| \( n_E \)  | \( n_A \)  | \( p \) in decimal form | \( p \) in % |
|------------|------------|-------------------------|--------------|
| 934000     | 306352     | 0.3281                  | 32.81%       |
| 5250       | 4326       | 0.824                   | 82.4%        |
| 47385      | 27907      | 0.59                    | 59%          |

Let me know if you need further details or explanations!

---

Here are 5 related questions you could consider:
1. How is the proportion \( p \) useful in analyzing population data?
2. Can this method be extended to other types of data beyond populations?
3. How would rounding affect these calculations?
4. Why is it important to express proportions both in decimal and percentage form?
5. How does changing the subpopulation size affect the proportion?

**Tip:** Always check units and precision in population-related calculations to avoid errors!

The table asks to calculate missing values for population data, specifically proportions in both decimal and percentage forms.

Learn how to calculate population proportions and percentages using real data. This example shows how to find the missing population values and proportions in both decimal and percentage form. Suitable for Grades 6-9.

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