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Finding the Third Proportional to 207,963 and 451,549

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Solution

The third proportional to 207,963 and 451,549 is: 980,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963 : 451,549 = 451,549 : x
  2. Step 2: Convert to fraction form
    207,963/451,549 = 451,549/x
  3. Step 3: Cross multiply
    207,963x = 451,549 × 451,549
  4. Step 4: Simplify right side
    207,963x = 203,896,499,401
  5. Step 5: Solve for x
    x = 203,896,499,401/207,963
  6. Step 6: Final answer
    x = 980,446.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.