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Finding the Third Proportional to 383.06 and 422.44

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Solution

The third proportional to 383.06 and 422.44 is: 465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 422.44 = 422.44 : x
  2. Step 2: Convert to fraction form
    383.06/422.44 = 422.44/x
  3. Step 3: Cross multiply
    383.06x = 422.44 × 422.44
  4. Step 4: Simplify right side
    383.06x = 178,453.44
  5. Step 5: Solve for x
    x = 178,453.44/383.06
  6. Step 6: Final answer
    x = 465.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.