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Finding the Third Proportional to 394,385 and 863,404

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Solution

The third proportional to 394,385 and 863,404 is: 1,890,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,385 : 863,404 = 863,404 : x
  2. Step 2: Convert to fraction form
    394,385/863,404 = 863,404/x
  3. Step 3: Cross multiply
    394,385x = 863,404 × 863,404
  4. Step 4: Simplify right side
    394,385x = 745,466,467,216
  5. Step 5: Solve for x
    x = 745,466,467,216/394,385
  6. Step 6: Final answer
    x = 1,890,199.85

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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.