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Finding the Third Proportional to 293,892 and 413,866

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Solution

The third proportional to 293,892 and 413,866 is: 582,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,892 : 413,866 = 413,866 : x
  2. Step 2: Convert to fraction form
    293,892/413,866 = 413,866/x
  3. Step 3: Cross multiply
    293,892x = 413,866 × 413,866
  4. Step 4: Simplify right side
    293,892x = 171,285,065,956
  5. Step 5: Solve for x
    x = 171,285,065,956/293,892
  6. Step 6: Final answer
    x = 582,816.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.