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Finding the Third Proportional to 267,022 and 400,586

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Solution

The third proportional to 267,022 and 400,586 is: 600,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,022 : 400,586 = 400,586 : x
  2. Step 2: Convert to fraction form
    267,022/400,586 = 400,586/x
  3. Step 3: Cross multiply
    267,022x = 400,586 × 400,586
  4. Step 4: Simplify right side
    267,022x = 160,469,143,396
  5. Step 5: Solve for x
    x = 160,469,143,396/267,022
  6. Step 6: Final answer
    x = 600,958.51

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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.