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Finding the Third Proportional to 226,844 and 476,906

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Solution

The third proportional to 226,844 and 476,906 is: 1,002,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,844 : 476,906 = 476,906 : x
  2. Step 2: Convert to fraction form
    226,844/476,906 = 476,906/x
  3. Step 3: Cross multiply
    226,844x = 476,906 × 476,906
  4. Step 4: Simplify right side
    226,844x = 227,439,332,836
  5. Step 5: Solve for x
    x = 227,439,332,836/226,844
  6. Step 6: Final answer
    x = 1,002,624.42

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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.