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Finding the Third Proportional to 215,782 and 474,392

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Solution

The third proportional to 215,782 and 474,392 is: 1,042,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,782 : 474,392 = 474,392 : x
  2. Step 2: Convert to fraction form
    215,782/474,392 = 474,392/x
  3. Step 3: Cross multiply
    215,782x = 474,392 × 474,392
  4. Step 4: Simplify right side
    215,782x = 225,047,769,664
  5. Step 5: Solve for x
    x = 225,047,769,664/215,782
  6. Step 6: Final answer
    x = 1,042,940.42

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