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Finding the Third Proportional to 477.38 and 992.44

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Solution

The third proportional to 477.38 and 992.44 is: 2,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 992.44 = 992.44 : x
  2. Step 2: Convert to fraction form
    477.38/992.44 = 992.44/x
  3. Step 3: Cross multiply
    477.38x = 992.44 × 992.44
  4. Step 4: Simplify right side
    477.38x = 984,932.19
  5. Step 5: Solve for x
    x = 984,932.19/477.38
  6. Step 6: Final answer
    x = 2,063.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.