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Finding the Third Proportional to 368,487.38 and 781,260.38

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Solution

The third proportional to 368,487.38 and 781,260.38 is: 1,656,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,487.38 : 781,260.38 = 781,260.38 : x
  2. Step 2: Convert to fraction form
    368,487.38/781,260.38 = 781,260.38/x
  3. Step 3: Cross multiply
    368,487.38x = 781,260.38 × 781,260.38
  4. Step 4: Simplify right side
    368,487.38x = 610,367,773,545.14
  5. Step 5: Solve for x
    x = 610,367,773,545.14/368,487.38
  6. Step 6: Final answer
    x = 1,656,414.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.