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Finding the Third Proportional to 394,380 and 863,396

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Solution

The third proportional to 394,380 and 863,396 is: 1,890,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,380 : 863,396 = 863,396 : x
  2. Step 2: Convert to fraction form
    394,380/863,396 = 863,396/x
  3. Step 3: Cross multiply
    394,380x = 863,396 × 863,396
  4. Step 4: Simplify right side
    394,380x = 745,452,652,816
  5. Step 5: Solve for x
    x = 745,452,652,816/394,380
  6. Step 6: Final answer
    x = 1,890,188.78

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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.