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Finding the Third Proportional to 203,885 and 441,369

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Solution

The third proportional to 203,885 and 441,369 is: 955,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,885 : 441,369 = 441,369 : x
  2. Step 2: Convert to fraction form
    203,885/441,369 = 441,369/x
  3. Step 3: Cross multiply
    203,885x = 441,369 × 441,369
  4. Step 4: Simplify right side
    203,885x = 194,806,594,161
  5. Step 5: Solve for x
    x = 194,806,594,161/203,885
  6. Step 6: Final answer
    x = 955,472.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.