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Finding the Third Proportional to 394,812 and 868,338

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Solution

The third proportional to 394,812 and 868,338 is: 1,909,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,812 : 868,338 = 868,338 : x
  2. Step 2: Convert to fraction form
    394,812/868,338 = 868,338/x
  3. Step 3: Cross multiply
    394,812x = 868,338 × 868,338
  4. Step 4: Simplify right side
    394,812x = 754,010,882,244
  5. Step 5: Solve for x
    x = 754,010,882,244/394,812
  6. Step 6: Final answer
    x = 1,909,797.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.