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Finding the Third Proportional to 318.38 and 696.54

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Solution

The third proportional to 318.38 and 696.54 is: 1,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 696.54 = 696.54 : x
  2. Step 2: Convert to fraction form
    318.38/696.54 = 696.54/x
  3. Step 3: Cross multiply
    318.38x = 696.54 × 696.54
  4. Step 4: Simplify right side
    318.38x = 485,170.75
  5. Step 5: Solve for x
    x = 485,170.75/318.38
  6. Step 6: Final answer
    x = 1,523.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.