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Finding the Third Proportional to 192,586 and 417,694

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Solution

The third proportional to 192,586 and 417,694 is: 905,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,586 : 417,694 = 417,694 : x
  2. Step 2: Convert to fraction form
    192,586/417,694 = 417,694/x
  3. Step 3: Cross multiply
    192,586x = 417,694 × 417,694
  4. Step 4: Simplify right side
    192,586x = 174,468,277,636
  5. Step 5: Solve for x
    x = 174,468,277,636/192,586
  6. Step 6: Final answer
    x = 905,923.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.