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Finding the Third Proportional to 337.97 and 726.57

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Solution

The third proportional to 337.97 and 726.57 is: 1,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 726.57 = 726.57 : x
  2. Step 2: Convert to fraction form
    337.97/726.57 = 726.57/x
  3. Step 3: Cross multiply
    337.97x = 726.57 × 726.57
  4. Step 4: Simplify right side
    337.97x = 527,910.10
  5. Step 5: Solve for x
    x = 527,910.10/337.97
  6. Step 6: Final answer
    x = 1,561.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.