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Finding the Third Proportional to 248,759 and 394,531

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Solution

The third proportional to 248,759 and 394,531 is: 625,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,759 : 394,531 = 394,531 : x
  2. Step 2: Convert to fraction form
    248,759/394,531 = 394,531/x
  3. Step 3: Cross multiply
    248,759x = 394,531 × 394,531
  4. Step 4: Simplify right side
    248,759x = 155,654,709,961
  5. Step 5: Solve for x
    x = 155,654,709,961/248,759
  6. Step 6: Final answer
    x = 625,724.94

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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.