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Finding the Third Proportional to 322,003 and 699,315

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Solution

The third proportional to 322,003 and 699,315 is: 1,518,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,003 : 699,315 = 699,315 : x
  2. Step 2: Convert to fraction form
    322,003/699,315 = 699,315/x
  3. Step 3: Cross multiply
    322,003x = 699,315 × 699,315
  4. Step 4: Simplify right side
    322,003x = 489,041,469,225
  5. Step 5: Solve for x
    x = 489,041,469,225/322,003
  6. Step 6: Final answer
    x = 1,518,748.18

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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.