Finding the Third Proportional to 546 and 656
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Solution
The third proportional to 546 and 656 is: 788.16
Step by Step Solution
- Step 1: Write the proportion equation
546 : 656 = 656 : x - Step 2: Convert to fraction form
546/656 = 656/x - Step 3: Cross multiply
546x = 656 × 656 - Step 4: Simplify right side
546x = 430,336 - Step 5: Solve for x
x = 430,336/546 - Step 6: Final answer
x = 788.16
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.