Finding the Third Proportional to 584 and 656
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Solution
The third proportional to 584 and 656 is: 736.88
Step by Step Solution
- Step 1: Write the proportion equation
584 : 656 = 656 : x - Step 2: Convert to fraction form
584/656 = 656/x - Step 3: Cross multiply
584x = 656 × 656 - Step 4: Simplify right side
584x = 430,336 - Step 5: Solve for x
x = 430,336/584 - Step 6: Final answer
x = 736.88
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.