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Finding the Third Proportional to 1,040.50 and 1,610.88

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Solution

The third proportional to 1,040.50 and 1,610.88 is: 2,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.50 : 1,610.88 = 1,610.88 : x
  2. Step 2: Convert to fraction form
    1,040.50/1,610.88 = 1,610.88/x
  3. Step 3: Cross multiply
    1,040.50x = 1,610.88 × 1,610.88
  4. Step 4: Simplify right side
    1,040.50x = 2,594,918.27
  5. Step 5: Solve for x
    x = 2,594,918.27/1,040.50
  6. Step 6: Final answer
    x = 2,493.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.