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Finding the Third Proportional to 267,564 and 572,493

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Solution

The third proportional to 267,564 and 572,493 is: 1,224,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564 : 572,493 = 572,493 : x
  2. Step 2: Convert to fraction form
    267,564/572,493 = 572,493/x
  3. Step 3: Cross multiply
    267,564x = 572,493 × 572,493
  4. Step 4: Simplify right side
    267,564x = 327,748,235,049
  5. Step 5: Solve for x
    x = 327,748,235,049/267,564
  6. Step 6: Final answer
    x = 1,224,933.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.