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Finding the Third Proportional to 203,974 and 441,846

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Solution

The third proportional to 203,974 and 441,846 is: 957,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,974 : 441,846 = 441,846 : x
  2. Step 2: Convert to fraction form
    203,974/441,846 = 441,846/x
  3. Step 3: Cross multiply
    203,974x = 441,846 × 441,846
  4. Step 4: Simplify right side
    203,974x = 195,227,887,716
  5. Step 5: Solve for x
    x = 195,227,887,716/203,974
  6. Step 6: Final answer
    x = 957,121.44

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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.