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Finding the Third Proportional to 1,349.79 and 1,724.73

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Solution

The third proportional to 1,349.79 and 1,724.73 is: 2,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.79 : 1,724.73 = 1,724.73 : x
  2. Step 2: Convert to fraction form
    1,349.79/1,724.73 = 1,724.73/x
  3. Step 3: Cross multiply
    1,349.79x = 1,724.73 × 1,724.73
  4. Step 4: Simplify right side
    1,349.79x = 2,974,695.19
  5. Step 5: Solve for x
    x = 2,974,695.19/1,349.79
  6. Step 6: Final answer
    x = 2,203.82

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.