Finding the Third Proportional to 506 and 542
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Solution
The third proportional to 506 and 542 is: 580.56
Step by Step Solution
- Step 1: Write the proportion equation
506 : 542 = 542 : x - Step 2: Convert to fraction form
506/542 = 542/x - Step 3: Cross multiply
506x = 542 × 542 - Step 4: Simplify right side
506x = 293,764 - Step 5: Solve for x
x = 293,764/506 - Step 6: Final answer
x = 580.56
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.