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Finding the Third Proportional to 392,545.41 and 862,506.56

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Solution

The third proportional to 392,545.41 and 862,506.56 is: 1,895,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,545.41 : 862,506.56 = 862,506.56 : x
  2. Step 2: Convert to fraction form
    392,545.41/862,506.56 = 862,506.56/x
  3. Step 3: Cross multiply
    392,545.41x = 862,506.56 × 862,506.56
  4. Step 4: Simplify right side
    392,545.41x = 743,917,570,355.57
  5. Step 5: Solve for x
    x = 743,917,570,355.57/392,545.41
  6. Step 6: Final answer
    x = 1,895,112.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.