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Finding the Third Proportional to 371,889.38 and 763,380.75

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Solution

The third proportional to 371,889.38 and 763,380.75 is: 1,566,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,889.38 : 763,380.75 = 763,380.75 : x
  2. Step 2: Convert to fraction form
    371,889.38/763,380.75 = 763,380.75/x
  3. Step 3: Cross multiply
    371,889.38x = 763,380.75 × 763,380.75
  4. Step 4: Simplify right side
    371,889.38x = 582,750,169,470.56
  5. Step 5: Solve for x
    x = 582,750,169,470.56/371,889.38
  6. Step 6: Final answer
    x = 1,566,998.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.