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Finding the Third Proportional to 717.29 and 1,719.04

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Solution

The third proportional to 717.29 and 1,719.04 is: 4,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.29 : 1,719.04 = 1,719.04 : x
  2. Step 2: Convert to fraction form
    717.29/1,719.04 = 1,719.04/x
  3. Step 3: Cross multiply
    717.29x = 1,719.04 × 1,719.04
  4. Step 4: Simplify right side
    717.29x = 2,955,081.87
  5. Step 5: Solve for x
    x = 2,955,081.87/717.29
  6. Step 6: Final answer
    x = 4,119.77

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.