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Finding the Third Proportional to 192,920 and 400,624

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Solution

The third proportional to 192,920 and 400,624 is: 831,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,920 : 400,624 = 400,624 : x
  2. Step 2: Convert to fraction form
    192,920/400,624 = 400,624/x
  3. Step 3: Cross multiply
    192,920x = 400,624 × 400,624
  4. Step 4: Simplify right side
    192,920x = 160,499,589,376
  5. Step 5: Solve for x
    x = 160,499,589,376/192,920
  6. Step 6: Final answer
    x = 831,948.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.