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Finding the Third Proportional to 220.46 and 475.72

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Solution

The third proportional to 220.46 and 475.72 is: 1,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 475.72 = 475.72 : x
  2. Step 2: Convert to fraction form
    220.46/475.72 = 475.72/x
  3. Step 3: Cross multiply
    220.46x = 475.72 × 475.72
  4. Step 4: Simplify right side
    220.46x = 226,306.47
  5. Step 5: Solve for x
    x = 226,306.47/220.46
  6. Step 6: Final answer
    x = 1,026.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.