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Finding the Third Proportional to 226,827 and 476,874

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Solution

The third proportional to 226,827 and 476,874 is: 1,002,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,827 : 476,874 = 476,874 : x
  2. Step 2: Convert to fraction form
    226,827/476,874 = 476,874/x
  3. Step 3: Cross multiply
    226,827x = 476,874 × 476,874
  4. Step 4: Simplify right side
    226,827x = 227,408,811,876
  5. Step 5: Solve for x
    x = 227,408,811,876/226,827
  6. Step 6: Final answer
    x = 1,002,565.00

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Why These Related Problems?

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