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Finding the Third Proportional to 227.44 and 474.56

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Solution

The third proportional to 227.44 and 474.56 is: 990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 474.56 = 474.56 : x
  2. Step 2: Convert to fraction form
    227.44/474.56 = 474.56/x
  3. Step 3: Cross multiply
    227.44x = 474.56 × 474.56
  4. Step 4: Simplify right side
    227.44x = 225,209.57
  5. Step 5: Solve for x
    x = 225,209.57/227.44
  6. Step 6: Final answer
    x = 990.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.