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Finding the Third Proportional to 394,498.13 and 862,806.38

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Solution

The third proportional to 394,498.13 and 862,806.38 is: 1,887,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,498.13 : 862,806.38 = 862,806.38 : x
  2. Step 2: Convert to fraction form
    394,498.13/862,806.38 = 862,806.38/x
  3. Step 3: Cross multiply
    394,498.13x = 862,806.38 × 862,806.38
  4. Step 4: Simplify right side
    394,498.13x = 744,434,840,740.64
  5. Step 5: Solve for x
    x = 744,434,840,740.64/394,498.13
  6. Step 6: Final answer
    x = 1,887,042.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.