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Finding the Third Proportional to 591.38 and 1,231.31

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Solution

The third proportional to 591.38 and 1,231.31 is: 2,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 1,231.31 = 1,231.31 : x
  2. Step 2: Convert to fraction form
    591.38/1,231.31 = 1,231.31/x
  3. Step 3: Cross multiply
    591.38x = 1,231.31 × 1,231.31
  4. Step 4: Simplify right side
    591.38x = 1,516,130.47
  5. Step 5: Solve for x
    x = 1,516,130.47/591.38
  6. Step 6: Final answer
    x = 2,563.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.