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Finding the Third Proportional to 283,846 and 394,663

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Solution

The third proportional to 283,846 and 394,663 is: 548,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,846 : 394,663 = 394,663 : x
  2. Step 2: Convert to fraction form
    283,846/394,663 = 394,663/x
  3. Step 3: Cross multiply
    283,846x = 394,663 × 394,663
  4. Step 4: Simplify right side
    283,846x = 155,758,883,569
  5. Step 5: Solve for x
    x = 155,758,883,569/283,846
  6. Step 6: Final answer
    x = 548,744.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.