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Finding the Third Proportional to 226,898 and 477,016

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Solution

The third proportional to 226,898 and 477,016 is: 1,002,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,898 : 477,016 = 477,016 : x
  2. Step 2: Convert to fraction form
    226,898/477,016 = 477,016/x
  3. Step 3: Cross multiply
    226,898x = 477,016 × 477,016
  4. Step 4: Simplify right side
    226,898x = 227,544,264,256
  5. Step 5: Solve for x
    x = 227,544,264,256/226,898
  6. Step 6: Final answer
    x = 1,002,848.26

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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.