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Finding the Third Proportional to 253,961 and 379,698

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Solution

The third proportional to 253,961 and 379,698 is: 567,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,961 : 379,698 = 379,698 : x
  2. Step 2: Convert to fraction form
    253,961/379,698 = 379,698/x
  3. Step 3: Cross multiply
    253,961x = 379,698 × 379,698
  4. Step 4: Simplify right side
    253,961x = 144,170,571,204
  5. Step 5: Solve for x
    x = 144,170,571,204/253,961
  6. Step 6: Final answer
    x = 567,687.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.