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Finding the Third Proportional to 400.56 and 861.13

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Solution

The third proportional to 400.56 and 861.13 is: 1,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 861.13 = 861.13 : x
  2. Step 2: Convert to fraction form
    400.56/861.13 = 861.13/x
  3. Step 3: Cross multiply
    400.56x = 861.13 × 861.13
  4. Step 4: Simplify right side
    400.56x = 741,536.27
  5. Step 5: Solve for x
    x = 741,536.27/400.56
  6. Step 6: Final answer
    x = 1,851.24

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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.