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Finding the Third Proportional to 422.09 and 923.27

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Solution

The third proportional to 422.09 and 923.27 is: 2,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 923.27 = 923.27 : x
  2. Step 2: Convert to fraction form
    422.09/923.27 = 923.27/x
  3. Step 3: Cross multiply
    422.09x = 923.27 × 923.27
  4. Step 4: Simplify right side
    422.09x = 852,433.84
  5. Step 5: Solve for x
    x = 852,433.84/422.09
  6. Step 6: Final answer
    x = 2,019.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.