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Finding the Third Proportional to 439.49 and 944.47

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Solution

The third proportional to 439.49 and 944.47 is: 2,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.49 : 944.47 = 944.47 : x
  2. Step 2: Convert to fraction form
    439.49/944.47 = 944.47/x
  3. Step 3: Cross multiply
    439.49x = 944.47 × 944.47
  4. Step 4: Simplify right side
    439.49x = 892,028.60
  5. Step 5: Solve for x
    x = 892,028.60/439.49
  6. Step 6: Final answer
    x = 2,029.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.