Finding the Third Proportional to 509 and 657
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Solution
The third proportional to 509 and 657 is: 848.03
Step by Step Solution
- Step 1: Write the proportion equation
509 : 657 = 657 : x - Step 2: Convert to fraction form
509/657 = 657/x - Step 3: Cross multiply
509x = 657 × 657 - Step 4: Simplify right side
509x = 431,649 - Step 5: Solve for x
x = 431,649/509 - Step 6: Final answer
x = 848.03
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.