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Finding the Third Proportional to 1,270.56 and 2,028.69

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Solution

The third proportional to 1,270.56 and 2,028.69 is: 3,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.56 : 2,028.69 = 2,028.69 : x
  2. Step 2: Convert to fraction form
    1,270.56/2,028.69 = 2,028.69/x
  3. Step 3: Cross multiply
    1,270.56x = 2,028.69 × 2,028.69
  4. Step 4: Simplify right side
    1,270.56x = 4,115,572.97
  5. Step 5: Solve for x
    x = 4,115,572.97/1,270.56
  6. Step 6: Final answer
    x = 3,239.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.