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Finding the Third Proportional to 321,974 and 699,302

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Solution

The third proportional to 321,974 and 699,302 is: 1,518,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,974 : 699,302 = 699,302 : x
  2. Step 2: Convert to fraction form
    321,974/699,302 = 699,302/x
  3. Step 3: Cross multiply
    321,974x = 699,302 × 699,302
  4. Step 4: Simplify right side
    321,974x = 489,023,287,204
  5. Step 5: Solve for x
    x = 489,023,287,204/321,974
  6. Step 6: Final answer
    x = 1,518,828.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.