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Finding the Third Proportional to 327,543 and 694,451

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Solution

The third proportional to 327,543 and 694,451 is: 1,472,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,543 : 694,451 = 694,451 : x
  2. Step 2: Convert to fraction form
    327,543/694,451 = 694,451/x
  3. Step 3: Cross multiply
    327,543x = 694,451 × 694,451
  4. Step 4: Simplify right side
    327,543x = 482,262,191,401
  5. Step 5: Solve for x
    x = 482,262,191,401/327,543
  6. Step 6: Final answer
    x = 1,472,362.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.