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Finding the Third Proportional to 610.31 and 1,337.44

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Solution

The third proportional to 610.31 and 1,337.44 is: 2,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 1,337.44 = 1,337.44 : x
  2. Step 2: Convert to fraction form
    610.31/1,337.44 = 1,337.44/x
  3. Step 3: Cross multiply
    610.31x = 1,337.44 × 1,337.44
  4. Step 4: Simplify right side
    610.31x = 1,788,739.07
  5. Step 5: Solve for x
    x = 1,788,739.07/610.31
  6. Step 6: Final answer
    x = 2,930.86

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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.