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Finding the Third Proportional to 401,452.31 and 861,270.19

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Solution

The third proportional to 401,452.31 and 861,270.19 is: 1,847,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,452.31 : 861,270.19 = 861,270.19 : x
  2. Step 2: Convert to fraction form
    401,452.31/861,270.19 = 861,270.19/x
  3. Step 3: Cross multiply
    401,452.31x = 861,270.19 × 861,270.19
  4. Step 4: Simplify right side
    401,452.31x = 741,786,335,876.29
  5. Step 5: Solve for x
    x = 741,786,335,876.29/401,452.31
  6. Step 6: Final answer
    x = 1,847,757.04

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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.