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Finding the Third Proportional to 337.29 and 731.85

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Solution

The third proportional to 337.29 and 731.85 is: 1,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.29 : 731.85 = 731.85 : x
  2. Step 2: Convert to fraction form
    337.29/731.85 = 731.85/x
  3. Step 3: Cross multiply
    337.29x = 731.85 × 731.85
  4. Step 4: Simplify right side
    337.29x = 535,600.99
  5. Step 5: Solve for x
    x = 535,600.99/337.29
  6. Step 6: Final answer
    x = 1,587.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.