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Finding the Third Proportional to 300.38 and 650.88

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Solution

The third proportional to 300.38 and 650.88 is: 1,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 650.88 = 650.88 : x
  2. Step 2: Convert to fraction form
    300.38/650.88 = 650.88/x
  3. Step 3: Cross multiply
    300.38x = 650.88 × 650.88
  4. Step 4: Simplify right side
    300.38x = 423,638.27
  5. Step 5: Solve for x
    x = 423,638.27/300.38
  6. Step 6: Final answer
    x = 1,410.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.