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Finding the Third Proportional to 267,572 and 356,892

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Solution

The third proportional to 267,572 and 356,892 is: 476,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,572 : 356,892 = 356,892 : x
  2. Step 2: Convert to fraction form
    267,572/356,892 = 356,892/x
  3. Step 3: Cross multiply
    267,572x = 356,892 × 356,892
  4. Step 4: Simplify right side
    267,572x = 127,371,899,664
  5. Step 5: Solve for x
    x = 127,371,899,664/267,572
  6. Step 6: Final answer
    x = 476,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.