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Finding the Third Proportional to 321,640.88 and 699,306.19

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Solution

The third proportional to 321,640.88 and 699,306.19 is: 1,520,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,640.88 : 699,306.19 = 699,306.19 : x
  2. Step 2: Convert to fraction form
    321,640.88/699,306.19 = 699,306.19/x
  3. Step 3: Cross multiply
    321,640.88x = 699,306.19 × 699,306.19
  4. Step 4: Simplify right side
    321,640.88x = 489,029,143,875.79
  5. Step 5: Solve for x
    x = 489,029,143,875.79/321,640.88
  6. Step 6: Final answer
    x = 1,520,419.77

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