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Finding the Third Proportional to 301.06 and 645.44

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Solution

The third proportional to 301.06 and 645.44 is: 1,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.06 : 645.44 = 645.44 : x
  2. Step 2: Convert to fraction form
    301.06/645.44 = 645.44/x
  3. Step 3: Cross multiply
    301.06x = 645.44 × 645.44
  4. Step 4: Simplify right side
    301.06x = 416,589.57
  5. Step 5: Solve for x
    x = 416,589.57/301.06
  6. Step 6: Final answer
    x = 1,383.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.