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Finding the Third Proportional to 203,477 and 441,981

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Solution

The third proportional to 203,477 and 441,981 is: 960,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477 : 441,981 = 441,981 : x
  2. Step 2: Convert to fraction form
    203,477/441,981 = 441,981/x
  3. Step 3: Cross multiply
    203,477x = 441,981 × 441,981
  4. Step 4: Simplify right side
    203,477x = 195,347,204,361
  5. Step 5: Solve for x
    x = 195,347,204,361/203,477
  6. Step 6: Final answer
    x = 960,045.63

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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.