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Finding the Third Proportional to 465,760.13 and 683,305.88

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Solution

The third proportional to 465,760.13 and 683,305.88 is: 1,002,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,760.13 : 683,305.88 = 683,305.88 : x
  2. Step 2: Convert to fraction form
    465,760.13/683,305.88 = 683,305.88/x
  3. Step 3: Cross multiply
    465,760.13x = 683,305.88 × 683,305.88
  4. Step 4: Simplify right side
    465,760.13x = 466,906,918,809.52
  5. Step 5: Solve for x
    x = 466,906,918,809.52/465,760.13
  6. Step 6: Final answer
    x = 1,002,462.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.