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Finding the Third Proportional to 337,139.72 and 474,244.88

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Solution

The third proportional to 337,139.72 and 474,244.88 is: 667,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,139.72 : 474,244.88 = 474,244.88 : x
  2. Step 2: Convert to fraction form
    337,139.72/474,244.88 = 474,244.88/x
  3. Step 3: Cross multiply
    337,139.72x = 474,244.88 × 474,244.88
  4. Step 4: Simplify right side
    337,139.72x = 224,908,201,463.77
  5. Step 5: Solve for x
    x = 224,908,201,463.77/337,139.72
  6. Step 6: Final answer
    x = 667,106.81

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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.