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Finding the Third Proportional to 1,198.55 and 1,720.62

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Solution

The third proportional to 1,198.55 and 1,720.62 is: 2,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.55 : 1,720.62 = 1,720.62 : x
  2. Step 2: Convert to fraction form
    1,198.55/1,720.62 = 1,720.62/x
  3. Step 3: Cross multiply
    1,198.55x = 1,720.62 × 1,720.62
  4. Step 4: Simplify right side
    1,198.55x = 2,960,523.51
  5. Step 5: Solve for x
    x = 2,960,523.51/1,198.55
  6. Step 6: Final answer
    x = 2,470.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.