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Finding the Third Proportional to 457.05 and 944.47

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Solution

The third proportional to 457.05 and 944.47 is: 1,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 944.47 = 944.47 : x
  2. Step 2: Convert to fraction form
    457.05/944.47 = 944.47/x
  3. Step 3: Cross multiply
    457.05x = 944.47 × 944.47
  4. Step 4: Simplify right side
    457.05x = 892,028.60
  5. Step 5: Solve for x
    x = 892,028.60/457.05
  6. Step 6: Final answer
    x = 1,951.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.