Finding the Third Proportional to 509 and 592
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Solution
The third proportional to 509 and 592 is: 688.53
Step by Step Solution
- Step 1: Write the proportion equation
509 : 592 = 592 : x - Step 2: Convert to fraction form
509/592 = 592/x - Step 3: Cross multiply
509x = 592 × 592 - Step 4: Simplify right side
509x = 350,464 - Step 5: Solve for x
x = 350,464/509 - Step 6: Final answer
x = 688.53
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.