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Finding the Third Proportional to 324,859 and 782,623

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Solution

The third proportional to 324,859 and 782,623 is: 1,885,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,859 : 782,623 = 782,623 : x
  2. Step 2: Convert to fraction form
    324,859/782,623 = 782,623/x
  3. Step 3: Cross multiply
    324,859x = 782,623 × 782,623
  4. Step 4: Simplify right side
    324,859x = 612,498,760,129
  5. Step 5: Solve for x
    x = 612,498,760,129/324,859
  6. Step 6: Final answer
    x = 1,885,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.