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Finding the Third Proportional to 215,832 and 474,493

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Solution

The third proportional to 215,832 and 474,493 is: 1,043,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832 : 474,493 = 474,493 : x
  2. Step 2: Convert to fraction form
    215,832/474,493 = 474,493/x
  3. Step 3: Cross multiply
    215,832x = 474,493 × 474,493
  4. Step 4: Simplify right side
    215,832x = 225,143,607,049
  5. Step 5: Solve for x
    x = 225,143,607,049/215,832
  6. Step 6: Final answer
    x = 1,043,142.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.