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Finding the Third Proportional to 481.44 and 550.06

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Solution

The third proportional to 481.44 and 550.06 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.44 : 550.06 = 550.06 : x
  2. Step 2: Convert to fraction form
    481.44/550.06 = 550.06/x
  3. Step 3: Cross multiply
    481.44x = 550.06 × 550.06
  4. Step 4: Simplify right side
    481.44x = 302,568.75
  5. Step 5: Solve for x
    x = 302,568.75/481.44
  6. Step 6: Final answer
    x = 628.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.