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Finding the Third Proportional to 1,519.45 and 2,280.73

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Solution

The third proportional to 1,519.45 and 2,280.73 is: 3,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.45 : 2,280.73 = 2,280.73 : x
  2. Step 2: Convert to fraction form
    1,519.45/2,280.73 = 2,280.73/x
  3. Step 3: Cross multiply
    1,519.45x = 2,280.73 × 2,280.73
  4. Step 4: Simplify right side
    1,519.45x = 5,201,713.65
  5. Step 5: Solve for x
    x = 5,201,713.65/1,519.45
  6. Step 6: Final answer
    x = 3,423.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.