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Finding the Third Proportional to 423.38 and 981.94

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Solution

The third proportional to 423.38 and 981.94 is: 2,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.38 : 981.94 = 981.94 : x
  2. Step 2: Convert to fraction form
    423.38/981.94 = 981.94/x
  3. Step 3: Cross multiply
    423.38x = 981.94 × 981.94
  4. Step 4: Simplify right side
    423.38x = 964,201.25
  5. Step 5: Solve for x
    x = 964,201.25/423.38
  6. Step 6: Final answer
    x = 2,277.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.