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Finding the Third Proportional to 367,035 and 516,862

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Solution

The third proportional to 367,035 and 516,862 is: 727,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,035 : 516,862 = 516,862 : x
  2. Step 2: Convert to fraction form
    367,035/516,862 = 516,862/x
  3. Step 3: Cross multiply
    367,035x = 516,862 × 516,862
  4. Step 4: Simplify right side
    367,035x = 267,146,327,044
  5. Step 5: Solve for x
    x = 267,146,327,044/367,035
  6. Step 6: Final answer
    x = 727,849.73

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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.