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Finding the Third Proportional to 327,290 and 500,451

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Solution

The third proportional to 327,290 and 500,451 is: 765,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,290 : 500,451 = 500,451 : x
  2. Step 2: Convert to fraction form
    327,290/500,451 = 500,451/x
  3. Step 3: Cross multiply
    327,290x = 500,451 × 500,451
  4. Step 4: Simplify right side
    327,290x = 250,451,203,401
  5. Step 5: Solve for x
    x = 250,451,203,401/327,290
  6. Step 6: Final answer
    x = 765,227.18

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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.