Finding the Third Proportional to 497 and 601
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Solution
The third proportional to 497 and 601 is: 726.76
Step by Step Solution
- Step 1: Write the proportion equation
497 : 601 = 601 : x - Step 2: Convert to fraction form
497/601 = 601/x - Step 3: Cross multiply
497x = 601 × 601 - Step 4: Simplify right side
497x = 361,201 - Step 5: Solve for x
x = 361,201/497 - Step 6: Final answer
x = 726.76
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.