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Finding the Third Proportional to 324,892 and 505,004

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Solution

The third proportional to 324,892 and 505,004 is: 784,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,892 : 505,004 = 505,004 : x
  2. Step 2: Convert to fraction form
    324,892/505,004 = 505,004/x
  3. Step 3: Cross multiply
    324,892x = 505,004 × 505,004
  4. Step 4: Simplify right side
    324,892x = 255,029,040,016
  5. Step 5: Solve for x
    x = 255,029,040,016/324,892
  6. Step 6: Final answer
    x = 784,965.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.