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Finding the Third Proportional to 400.22 and 862.17

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Solution

The third proportional to 400.22 and 862.17 is: 1,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 862.17 = 862.17 : x
  2. Step 2: Convert to fraction form
    400.22/862.17 = 862.17/x
  3. Step 3: Cross multiply
    400.22x = 862.17 × 862.17
  4. Step 4: Simplify right side
    400.22x = 743,340.34
  5. Step 5: Solve for x
    x = 743,340.34/400.22
  6. Step 6: Final answer
    x = 1,857.34

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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.