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The problem asks for the value of a house after a 29% increase from its original value of $516,000.

We can calculate the increased value by adding 29% of the original value to the original value itself:

1. **Find 29% of the original value**:
   \[
   29\% \times 516,000 = 0.29 \times 516,000 = 149,640
   \]

2. **Add the increase to the original value**:
   \[
   516,000 + 149,640 = 665,640
   \]

So, the value of the house after the increase is **$665,640**.

The correct answer is the first option: **$665,640**.

Would you like any additional details or clarifications?

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Here are 5 related questions to consider:
1. How do you calculate a percentage decrease in value?
2. If the house had increased by 50%, what would the new value be?
3. What formula do we use to find percentage change?
4. How can you calculate the original value if you know the final value after an increase?
5. What is the difference between percentage increase and percentage points?

**Tip**: To calculate percentage increases or decreases, multiply the percentage by the original value and then add or subtract that result from the original value.

A house has increased in value by 29% since it was purchased. If the original value is $516,000, what was the value after the increase?

Calculate the value of a house after a 29% increase from its original price of $516,000. This example covers key concepts in percentage increase and basic arithmetic, suitable for students in Grades 6-8.

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