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Finding the Third Proportional to 742.92 and 823.92

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Solution

The third proportional to 742.92 and 823.92 is: 913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 823.92 = 823.92 : x
  2. Step 2: Convert to fraction form
    742.92/823.92 = 823.92/x
  3. Step 3: Cross multiply
    742.92x = 823.92 × 823.92
  4. Step 4: Simplify right side
    742.92x = 678,847.26
  5. Step 5: Solve for x
    x = 678,847.26/742.92
  6. Step 6: Final answer
    x = 913.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.