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Finding the Third Proportional to 248,767 and 394,543

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Solution

The third proportional to 248,767 and 394,543 is: 625,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,767 : 394,543 = 394,543 : x
  2. Step 2: Convert to fraction form
    248,767/394,543 = 394,543/x
  3. Step 3: Cross multiply
    248,767x = 394,543 × 394,543
  4. Step 4: Simplify right side
    248,767x = 155,664,178,849
  5. Step 5: Solve for x
    x = 155,664,178,849/248,767
  6. Step 6: Final answer
    x = 625,742.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.