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Finding the Third Proportional to 1,199.25 and 2,620.88

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Solution

The third proportional to 1,199.25 and 2,620.88 is: 5,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.25 : 2,620.88 = 2,620.88 : x
  2. Step 2: Convert to fraction form
    1,199.25/2,620.88 = 2,620.88/x
  3. Step 3: Cross multiply
    1,199.25x = 2,620.88 × 2,620.88
  4. Step 4: Simplify right side
    1,199.25x = 6,868,985.77
  5. Step 5: Solve for x
    x = 6,868,985.77/1,199.25
  6. Step 6: Final answer
    x = 5,727.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.