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Finding the Third Proportional to 1,399.78 and 3,004.59

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Solution

The third proportional to 1,399.78 and 3,004.59 is: 6,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.78 : 3,004.59 = 3,004.59 : x
  2. Step 2: Convert to fraction form
    1,399.78/3,004.59 = 3,004.59/x
  3. Step 3: Cross multiply
    1,399.78x = 3,004.59 × 3,004.59
  4. Step 4: Simplify right side
    1,399.78x = 9,027,583.60
  5. Step 5: Solve for x
    x = 9,027,583.60/1,399.78
  6. Step 6: Final answer
    x = 6,449.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.