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Finding the Third Proportional to 490.41 and 751.27

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Solution

The third proportional to 490.41 and 751.27 is: 1,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 751.27 = 751.27 : x
  2. Step 2: Convert to fraction form
    490.41/751.27 = 751.27/x
  3. Step 3: Cross multiply
    490.41x = 751.27 × 751.27
  4. Step 4: Simplify right side
    490.41x = 564,400.04
  5. Step 5: Solve for x
    x = 564,400.04/490.41
  6. Step 6: Final answer
    x = 1,150.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.