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Finding the Third Proportional to 496.41 and 1,144.83

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Solution

The third proportional to 496.41 and 1,144.83 is: 2,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 1,144.83 = 1,144.83 : x
  2. Step 2: Convert to fraction form
    496.41/1,144.83 = 1,144.83/x
  3. Step 3: Cross multiply
    496.41x = 1,144.83 × 1,144.83
  4. Step 4: Simplify right side
    496.41x = 1,310,631.44
  5. Step 5: Solve for x
    x = 1,310,631.44/496.41
  6. Step 6: Final answer
    x = 2,640.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.