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Finding the Third Proportional to 227,112 and 477,744

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Solution

The third proportional to 227,112 and 477,744 is: 1,004,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,112 : 477,744 = 477,744 : x
  2. Step 2: Convert to fraction form
    227,112/477,744 = 477,744/x
  3. Step 3: Cross multiply
    227,112x = 477,744 × 477,744
  4. Step 4: Simplify right side
    227,112x = 228,239,329,536
  5. Step 5: Solve for x
    x = 228,239,329,536/227,112
  6. Step 6: Final answer
    x = 1,004,963.76

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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.