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Finding the Third Proportional to 400.31 and 587.16

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Solution

The third proportional to 400.31 and 587.16 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 587.16 = 587.16 : x
  2. Step 2: Convert to fraction form
    400.31/587.16 = 587.16/x
  3. Step 3: Cross multiply
    400.31x = 587.16 × 587.16
  4. Step 4: Simplify right side
    400.31x = 344,752.46
  5. Step 5: Solve for x
    x = 344,752.46/400.31
  6. Step 6: Final answer
    x = 861.21

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