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Finding the Third Proportional to 333.18 and 717.61

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Solution

The third proportional to 333.18 and 717.61 is: 1,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.18 : 717.61 = 717.61 : x
  2. Step 2: Convert to fraction form
    333.18/717.61 = 717.61/x
  3. Step 3: Cross multiply
    333.18x = 717.61 × 717.61
  4. Step 4: Simplify right side
    333.18x = 514,963.22
  5. Step 5: Solve for x
    x = 514,963.22/333.18
  6. Step 6: Final answer
    x = 1,545.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.