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Finding the Third Proportional to 400,160.25 and 944,601.75

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Solution

The third proportional to 400,160.25 and 944,601.75 is: 2,229,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,160.25 : 944,601.75 = 944,601.75 : x
  2. Step 2: Convert to fraction form
    400,160.25/944,601.75 = 944,601.75/x
  3. Step 3: Cross multiply
    400,160.25x = 944,601.75 × 944,601.75
  4. Step 4: Simplify right side
    400,160.25x = 892,272,466,103.06
  5. Step 5: Solve for x
    x = 892,272,466,103.06/400,160.25
  6. Step 6: Final answer
    x = 2,229,787.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.