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Finding the Third Proportional to 283,856 and 394,680

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Solution

The third proportional to 283,856 and 394,680 is: 548,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,856 : 394,680 = 394,680 : x
  2. Step 2: Convert to fraction form
    283,856/394,680 = 394,680/x
  3. Step 3: Cross multiply
    283,856x = 394,680 × 394,680
  4. Step 4: Simplify right side
    283,856x = 155,772,302,400
  5. Step 5: Solve for x
    x = 155,772,302,400/283,856
  6. Step 6: Final answer
    x = 548,772.27

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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.