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Finding the Third Proportional to 468.66 and 717.19

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Solution

The third proportional to 468.66 and 717.19 is: 1,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 717.19 = 717.19 : x
  2. Step 2: Convert to fraction form
    468.66/717.19 = 717.19/x
  3. Step 3: Cross multiply
    468.66x = 717.19 × 717.19
  4. Step 4: Simplify right side
    468.66x = 514,357.91
  5. Step 5: Solve for x
    x = 514,357.91/468.66
  6. Step 6: Final answer
    x = 1,097.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.