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Finding the Third Proportional to 394,381 and 863,393

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Solution

The third proportional to 394,381 and 863,393 is: 1,890,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,381 : 863,393 = 863,393 : x
  2. Step 2: Convert to fraction form
    394,381/863,393 = 863,393/x
  3. Step 3: Cross multiply
    394,381x = 863,393 × 863,393
  4. Step 4: Simplify right side
    394,381x = 745,447,472,449
  5. Step 5: Solve for x
    x = 745,447,472,449/394,381
  6. Step 6: Final answer
    x = 1,890,170.86

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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.