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Finding the Third Proportional to 391,351.50 and 942,414.75

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Solution

The third proportional to 391,351.50 and 942,414.75 is: 2,269,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,351.50 : 942,414.75 = 942,414.75 : x
  2. Step 2: Convert to fraction form
    391,351.50/942,414.75 = 942,414.75/x
  3. Step 3: Cross multiply
    391,351.50x = 942,414.75 × 942,414.75
  4. Step 4: Simplify right side
    391,351.50x = 888,145,561,017.56
  5. Step 5: Solve for x
    x = 888,145,561,017.56/391,351.50
  6. Step 6: Final answer
    x = 2,269,431.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.