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Finding the Third Proportional to 215,926 and 474,364

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Solution

The third proportional to 215,926 and 474,364 is: 1,042,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,926 : 474,364 = 474,364 : x
  2. Step 2: Convert to fraction form
    215,926/474,364 = 474,364/x
  3. Step 3: Cross multiply
    215,926x = 474,364 × 474,364
  4. Step 4: Simplify right side
    215,926x = 225,021,204,496
  5. Step 5: Solve for x
    x = 225,021,204,496/215,926
  6. Step 6: Final answer
    x = 1,042,121.86

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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.