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Finding the Third Proportional to 267,981 and 588,447

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Solution

The third proportional to 267,981 and 588,447 is: 1,292,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,981 : 588,447 = 588,447 : x
  2. Step 2: Convert to fraction form
    267,981/588,447 = 588,447/x
  3. Step 3: Cross multiply
    267,981x = 588,447 × 588,447
  4. Step 4: Simplify right side
    267,981x = 346,269,871,809
  5. Step 5: Solve for x
    x = 346,269,871,809/267,981
  6. Step 6: Final answer
    x = 1,292,143.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.