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Finding the Third Proportional to 823.92 and 1,114.38

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Solution

The third proportional to 823.92 and 1,114.38 is: 1,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.92 : 1,114.38 = 1,114.38 : x
  2. Step 2: Convert to fraction form
    823.92/1,114.38 = 1,114.38/x
  3. Step 3: Cross multiply
    823.92x = 1,114.38 × 1,114.38
  4. Step 4: Simplify right side
    823.92x = 1,241,849.05
  5. Step 5: Solve for x
    x = 1,241,849.05/823.92
  6. Step 6: Final answer
    x = 1,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.