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Finding the Third Proportional to 252,531 and 383,049

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Solution

The third proportional to 252,531 and 383,049 is: 581,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,531 : 383,049 = 383,049 : x
  2. Step 2: Convert to fraction form
    252,531/383,049 = 383,049/x
  3. Step 3: Cross multiply
    252,531x = 383,049 × 383,049
  4. Step 4: Simplify right side
    252,531x = 146,726,536,401
  5. Step 5: Solve for x
    x = 146,726,536,401/252,531
  6. Step 6: Final answer
    x = 581,023.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.