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Finding the Third Proportional to 394,487.88 and 862,786.69

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Solution

The third proportional to 394,487.88 and 862,786.69 is: 1,887,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,487.88 : 862,786.69 = 862,786.69 : x
  2. Step 2: Convert to fraction form
    394,487.88/862,786.69 = 862,786.69/x
  3. Step 3: Cross multiply
    394,487.88x = 862,786.69 × 862,786.69
  4. Step 4: Simplify right side
    394,487.88x = 744,400,868,127.22
  5. Step 5: Solve for x
    x = 744,400,868,127.22/394,487.88
  6. Step 6: Final answer
    x = 1,887,005.70

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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.