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Finding the Third Proportional to 801,505.97 and 1,198,258.31

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Solution

The third proportional to 801,505.97 and 1,198,258.31 is: 1,791,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,505.97 : 1,198,258.31 = 1,198,258.31 : x
  2. Step 2: Convert to fraction form
    801,505.97/1,198,258.31 = 1,198,258.31/x
  3. Step 3: Cross multiply
    801,505.97x = 1,198,258.31 × 1,198,258.31
  4. Step 4: Simplify right side
    801,505.97x = 1,435,822,983,475.35
  5. Step 5: Solve for x
    x = 1,435,822,983,475.35/801,505.97
  6. Step 6: Final answer
    x = 1,791,406.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.