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Finding the Third Proportional to 225,950 and 481,924

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Solution

The third proportional to 225,950 and 481,924 is: 1,027,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,950 : 481,924 = 481,924 : x
  2. Step 2: Convert to fraction form
    225,950/481,924 = 481,924/x
  3. Step 3: Cross multiply
    225,950x = 481,924 × 481,924
  4. Step 4: Simplify right side
    225,950x = 232,250,741,776
  5. Step 5: Solve for x
    x = 232,250,741,776/225,950
  6. Step 6: Final answer
    x = 1,027,885.56

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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.