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Finding the Third Proportional to 722.67 and 849.23

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Solution

The third proportional to 722.67 and 849.23 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 849.23 = 849.23 : x
  2. Step 2: Convert to fraction form
    722.67/849.23 = 849.23/x
  3. Step 3: Cross multiply
    722.67x = 849.23 × 849.23
  4. Step 4: Simplify right side
    722.67x = 721,199.02
  5. Step 5: Solve for x
    x = 721,199.02/722.67
  6. Step 6: Final answer
    x = 997.96

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.