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Finding the Third Proportional to 394,408 and 863,452

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Solution

The third proportional to 394,408 and 863,452 is: 1,890,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,408 : 863,452 = 863,452 : x
  2. Step 2: Convert to fraction form
    394,408/863,452 = 863,452/x
  3. Step 3: Cross multiply
    394,408x = 863,452 × 863,452
  4. Step 4: Simplify right side
    394,408x = 745,549,356,304
  5. Step 5: Solve for x
    x = 745,549,356,304/394,408
  6. Step 6: Final answer
    x = 1,890,299.78

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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.