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Finding the Third Proportional to 610.45 and 1,319.20

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Solution

The third proportional to 610.45 and 1,319.20 is: 2,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.45 : 1,319.20 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    610.45/1,319.20 = 1,319.20/x
  3. Step 3: Cross multiply
    610.45x = 1,319.20 × 1,319.20
  4. Step 4: Simplify right side
    610.45x = 1,740,296.89
  5. Step 5: Solve for x
    x = 1,740,296.89/610.45
  6. Step 6: Final answer
    x = 2,850.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.