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Finding the Third Proportional to 393,785.44 and 858,841.13

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Solution

The third proportional to 393,785.44 and 858,841.13 is: 1,873,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,785.44 : 858,841.13 = 858,841.13 : x
  2. Step 2: Convert to fraction form
    393,785.44/858,841.13 = 858,841.13/x
  3. Step 3: Cross multiply
    393,785.44x = 858,841.13 × 858,841.13
  4. Step 4: Simplify right side
    393,785.44x = 737,608,077,991.27
  5. Step 5: Solve for x
    x = 737,608,077,991.27/393,785.44
  6. Step 6: Final answer
    x = 1,873,121.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.