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Finding the Third Proportional to 1,019.46 and 1,550.55

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Solution

The third proportional to 1,019.46 and 1,550.55 is: 2,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.46 : 1,550.55 = 1,550.55 : x
  2. Step 2: Convert to fraction form
    1,019.46/1,550.55 = 1,550.55/x
  3. Step 3: Cross multiply
    1,019.46x = 1,550.55 × 1,550.55
  4. Step 4: Simplify right side
    1,019.46x = 2,404,201.67
  5. Step 5: Solve for x
    x = 2,404,201.67/1,019.46
  6. Step 6: Final answer
    x = 2,358.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.