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Finding the Third Proportional to 192,924 and 400,632

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Solution

The third proportional to 192,924 and 400,632 is: 831,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924 : 400,632 = 400,632 : x
  2. Step 2: Convert to fraction form
    192,924/400,632 = 400,632/x
  3. Step 3: Cross multiply
    192,924x = 400,632 × 400,632
  4. Step 4: Simplify right side
    192,924x = 160,505,999,424
  5. Step 5: Solve for x
    x = 160,505,999,424/192,924
  6. Step 6: Final answer
    x = 831,964.92

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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.