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Finding the Third Proportional to 252,874 and 379,983

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Solution

The third proportional to 252,874 and 379,983 is: 570,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,874 : 379,983 = 379,983 : x
  2. Step 2: Convert to fraction form
    252,874/379,983 = 379,983/x
  3. Step 3: Cross multiply
    252,874x = 379,983 × 379,983
  4. Step 4: Simplify right side
    252,874x = 144,387,080,289
  5. Step 5: Solve for x
    x = 144,387,080,289/252,874
  6. Step 6: Final answer
    x = 570,984.29

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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.