Finding the Third Proportional to 546 and 632
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Solution
The third proportional to 546 and 632 is: 731.55
Step by Step Solution
- Step 1: Write the proportion equation
546 : 632 = 632 : x - Step 2: Convert to fraction form
546/632 = 632/x - Step 3: Cross multiply
546x = 632 × 632 - Step 4: Simplify right side
546x = 399,424 - Step 5: Solve for x
x = 399,424/546 - Step 6: Final answer
x = 731.55
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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.