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Finding the Third Proportional to 226,828 and 476,876

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Solution

The third proportional to 226,828 and 476,876 is: 1,002,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,828 : 476,876 = 476,876 : x
  2. Step 2: Convert to fraction form
    226,828/476,876 = 476,876/x
  3. Step 3: Cross multiply
    226,828x = 476,876 × 476,876
  4. Step 4: Simplify right side
    226,828x = 227,410,719,376
  5. Step 5: Solve for x
    x = 227,410,719,376/226,828
  6. Step 6: Final answer
    x = 1,002,568.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.