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Finding the Third Proportional to 192,559 and 410,879

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Solution

The third proportional to 192,559 and 410,879 is: 876,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,559 : 410,879 = 410,879 : x
  2. Step 2: Convert to fraction form
    192,559/410,879 = 410,879/x
  3. Step 3: Cross multiply
    192,559x = 410,879 × 410,879
  4. Step 4: Simplify right side
    192,559x = 168,821,552,641
  5. Step 5: Solve for x
    x = 168,821,552,641/192,559
  6. Step 6: Final answer
    x = 876,726.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.