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Finding the Third Proportional to 227.53 and 479.53

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Solution

The third proportional to 227.53 and 479.53 is: 1,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 479.53 = 479.53 : x
  2. Step 2: Convert to fraction form
    227.53/479.53 = 479.53/x
  3. Step 3: Cross multiply
    227.53x = 479.53 × 479.53
  4. Step 4: Simplify right side
    227.53x = 229,950.22
  5. Step 5: Solve for x
    x = 229,950.22/227.53
  6. Step 6: Final answer
    x = 1,010.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.