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Finding the Third Proportional to 337,152.38 and 474,265.13

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Solution

The third proportional to 337,152.38 and 474,265.13 is: 667,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152.38 : 474,265.13 = 474,265.13 : x
  2. Step 2: Convert to fraction form
    337,152.38/474,265.13 = 474,265.13/x
  3. Step 3: Cross multiply
    337,152.38x = 474,265.13 × 474,265.13
  4. Step 4: Simplify right side
    337,152.38x = 224,927,408,791.27
  5. Step 5: Solve for x
    x = 224,927,408,791.27/337,152.38
  6. Step 6: Final answer
    x = 667,138.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.