Finding the Third Proportional to 542 and 613
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Solution
The third proportional to 542 and 613 is: 693.30
Step by Step Solution
- Step 1: Write the proportion equation
542 : 613 = 613 : x - Step 2: Convert to fraction form
542/613 = 613/x - Step 3: Cross multiply
542x = 613 × 613 - Step 4: Simplify right side
542x = 375,769 - Step 5: Solve for x
x = 375,769/542 - Step 6: Final answer
x = 693.30
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.