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Finding the Third Proportional to 1,494.07 and 3,289.78

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Solution

The third proportional to 1,494.07 and 3,289.78 is: 7,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.07 : 3,289.78 = 3,289.78 : x
  2. Step 2: Convert to fraction form
    1,494.07/3,289.78 = 3,289.78/x
  3. Step 3: Cross multiply
    1,494.07x = 3,289.78 × 3,289.78
  4. Step 4: Simplify right side
    1,494.07x = 10,822,660.67
  5. Step 5: Solve for x
    x = 10,822,660.67/1,494.07
  6. Step 6: Final answer
    x = 7,243.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.