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Finding the Third Proportional to 418.25 and 992.75

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Solution

The third proportional to 418.25 and 992.75 is: 2,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.25 : 992.75 = 992.75 : x
  2. Step 2: Convert to fraction form
    418.25/992.75 = 992.75/x
  3. Step 3: Cross multiply
    418.25x = 992.75 × 992.75
  4. Step 4: Simplify right side
    418.25x = 985,552.56
  5. Step 5: Solve for x
    x = 985,552.56/418.25
  6. Step 6: Final answer
    x = 2,356.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.