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Finding the Third Proportional to 203,469 and 441,966

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Solution

The third proportional to 203,469 and 441,966 is: 960,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469 : 441,966 = 441,966 : x
  2. Step 2: Convert to fraction form
    203,469/441,966 = 441,966/x
  3. Step 3: Cross multiply
    203,469x = 441,966 × 441,966
  4. Step 4: Simplify right side
    203,469x = 195,333,945,156
  5. Step 5: Solve for x
    x = 195,333,945,156/203,469
  6. Step 6: Final answer
    x = 960,018.21

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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.