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Finding the Third Proportional to 306.38 and 650.44

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Solution

The third proportional to 306.38 and 650.44 is: 1,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 650.44 = 650.44 : x
  2. Step 2: Convert to fraction form
    306.38/650.44 = 650.44/x
  3. Step 3: Cross multiply
    306.38x = 650.44 × 650.44
  4. Step 4: Simplify right side
    306.38x = 423,068.94
  5. Step 5: Solve for x
    x = 423,068.94/306.38
  6. Step 6: Final answer
    x = 1,380.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.