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Finding the Third Proportional to 722.16 and 1,162.97

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Solution

The third proportional to 722.16 and 1,162.97 is: 1,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 1,162.97 = 1,162.97 : x
  2. Step 2: Convert to fraction form
    722.16/1,162.97 = 1,162.97/x
  3. Step 3: Cross multiply
    722.16x = 1,162.97 × 1,162.97
  4. Step 4: Simplify right side
    722.16x = 1,352,496.31
  5. Step 5: Solve for x
    x = 1,352,496.31/722.16
  6. Step 6: Final answer
    x = 1,872.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.