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Finding the Third Proportional to 279,551 and 372,451

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Solution

The third proportional to 279,551 and 372,451 is: 496,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,551 : 372,451 = 372,451 : x
  2. Step 2: Convert to fraction form
    279,551/372,451 = 372,451/x
  3. Step 3: Cross multiply
    279,551x = 372,451 × 372,451
  4. Step 4: Simplify right side
    279,551x = 138,719,747,401
  5. Step 5: Solve for x
    x = 138,719,747,401/279,551
  6. Step 6: Final answer
    x = 496,223.40

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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.