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Finding the Third Proportional to 193,794 and 452,901

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Solution

The third proportional to 193,794 and 452,901 is: 1,058,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,794 : 452,901 = 452,901 : x
  2. Step 2: Convert to fraction form
    193,794/452,901 = 452,901/x
  3. Step 3: Cross multiply
    193,794x = 452,901 × 452,901
  4. Step 4: Simplify right side
    193,794x = 205,119,315,801
  5. Step 5: Solve for x
    x = 205,119,315,801/193,794
  6. Step 6: Final answer
    x = 1,058,439.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.