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Finding the Third Proportional to 201,472 and 441,694

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Solution

The third proportional to 201,472 and 441,694 is: 968,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472 : 441,694 = 441,694 : x
  2. Step 2: Convert to fraction form
    201,472/441,694 = 441,694/x
  3. Step 3: Cross multiply
    201,472x = 441,694 × 441,694
  4. Step 4: Simplify right side
    201,472x = 195,093,589,636
  5. Step 5: Solve for x
    x = 195,093,589,636/201,472
  6. Step 6: Final answer
    x = 968,340.96

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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.