Finding the Third Proportional to 585 and 641
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Solution
The third proportional to 585 and 641 is: 702.36
Step by Step Solution
- Step 1: Write the proportion equation
585 : 641 = 641 : x - Step 2: Convert to fraction form
585/641 = 641/x - Step 3: Cross multiply
585x = 641 × 641 - Step 4: Simplify right side
585x = 410,881 - Step 5: Solve for x
x = 410,881/585 - Step 6: Final answer
x = 702.36
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.