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Finding the Third Proportional to 444.38 and 650.69

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Solution

The third proportional to 444.38 and 650.69 is: 952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.38 : 650.69 = 650.69 : x
  2. Step 2: Convert to fraction form
    444.38/650.69 = 650.69/x
  3. Step 3: Cross multiply
    444.38x = 650.69 × 650.69
  4. Step 4: Simplify right side
    444.38x = 423,394.22
  5. Step 5: Solve for x
    x = 423,394.22/444.38
  6. Step 6: Final answer
    x = 952.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.