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Finding the Third Proportional to 267,632 and 409,924

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Solution

The third proportional to 267,632 and 409,924 is: 627,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,632 : 409,924 = 409,924 : x
  2. Step 2: Convert to fraction form
    267,632/409,924 = 409,924/x
  3. Step 3: Cross multiply
    267,632x = 409,924 × 409,924
  4. Step 4: Simplify right side
    267,632x = 168,037,685,776
  5. Step 5: Solve for x
    x = 168,037,685,776/267,632
  6. Step 6: Final answer
    x = 627,868.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.