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Finding the Third Proportional to 317.44 and 601.97

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Solution

The third proportional to 317.44 and 601.97 is: 1,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.44 : 601.97 = 601.97 : x
  2. Step 2: Convert to fraction form
    317.44/601.97 = 601.97/x
  3. Step 3: Cross multiply
    317.44x = 601.97 × 601.97
  4. Step 4: Simplify right side
    317.44x = 362,366.38
  5. Step 5: Solve for x
    x = 362,366.38/317.44
  6. Step 6: Final answer
    x = 1,141.54

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.