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Finding the Third Proportional to 717.61 and 1,076.41

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Solution

The third proportional to 717.61 and 1,076.41 is: 1,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.61 : 1,076.41 = 1,076.41 : x
  2. Step 2: Convert to fraction form
    717.61/1,076.41 = 1,076.41/x
  3. Step 3: Cross multiply
    717.61x = 1,076.41 × 1,076.41
  4. Step 4: Simplify right side
    717.61x = 1,158,667.23
  5. Step 5: Solve for x
    x = 1,158,667.23/717.61
  6. Step 6: Final answer
    x = 1,614.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.