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Finding the Third Proportional to 203,834 and 433,981

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Solution

The third proportional to 203,834 and 433,981 is: 923,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,834 : 433,981 = 433,981 : x
  2. Step 2: Convert to fraction form
    203,834/433,981 = 433,981/x
  3. Step 3: Cross multiply
    203,834x = 433,981 × 433,981
  4. Step 4: Simplify right side
    203,834x = 188,339,508,361
  5. Step 5: Solve for x
    x = 188,339,508,361/203,834
  6. Step 6: Final answer
    x = 923,984.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.