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Finding the Third Proportional to 227.81 and 478.41

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Solution

The third proportional to 227.81 and 478.41 is: 1,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 478.41 = 478.41 : x
  2. Step 2: Convert to fraction form
    227.81/478.41 = 478.41/x
  3. Step 3: Cross multiply
    227.81x = 478.41 × 478.41
  4. Step 4: Simplify right side
    227.81x = 228,872.54
  5. Step 5: Solve for x
    x = 228,872.54/227.81
  6. Step 6: Final answer
    x = 1,004.65

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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.