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Finding the Third Proportional to 201,474 and 441,698

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Solution

The third proportional to 201,474 and 441,698 is: 968,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474 : 441,698 = 441,698 : x
  2. Step 2: Convert to fraction form
    201,474/441,698 = 441,698/x
  3. Step 3: Cross multiply
    201,474x = 441,698 × 441,698
  4. Step 4: Simplify right side
    201,474x = 195,097,123,204
  5. Step 5: Solve for x
    x = 195,097,123,204/201,474
  6. Step 6: Final answer
    x = 968,348.88

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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.