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Finding the Third Proportional to 253,522 and 379,493

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Solution

The third proportional to 253,522 and 379,493 is: 568,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,522 : 379,493 = 379,493 : x
  2. Step 2: Convert to fraction form
    253,522/379,493 = 379,493/x
  3. Step 3: Cross multiply
    253,522x = 379,493 × 379,493
  4. Step 4: Simplify right side
    253,522x = 144,014,937,049
  5. Step 5: Solve for x
    x = 144,014,937,049/253,522
  6. Step 6: Final answer
    x = 568,056.96

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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.