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Finding the Third Proportional to 1,280.50 and 1,850.88

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Solution

The third proportional to 1,280.50 and 1,850.88 is: 2,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.50 : 1,850.88 = 1,850.88 : x
  2. Step 2: Convert to fraction form
    1,280.50/1,850.88 = 1,850.88/x
  3. Step 3: Cross multiply
    1,280.50x = 1,850.88 × 1,850.88
  4. Step 4: Simplify right side
    1,280.50x = 3,425,738.27
  5. Step 5: Solve for x
    x = 3,425,738.27/1,280.50
  6. Step 6: Final answer
    x = 2,675.31

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.