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Finding the Third Proportional to 717.25 and 978.88

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Solution

The third proportional to 717.25 and 978.88 is: 1,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.25 : 978.88 = 978.88 : x
  2. Step 2: Convert to fraction form
    717.25/978.88 = 978.88/x
  3. Step 3: Cross multiply
    717.25x = 978.88 × 978.88
  4. Step 4: Simplify right side
    717.25x = 958,196.27
  5. Step 5: Solve for x
    x = 958,196.27/717.25
  6. Step 6: Final answer
    x = 1,335.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.