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Finding the Third Proportional to 190,997 and 404,761

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Solution

The third proportional to 190,997 and 404,761 is: 857,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997 : 404,761 = 404,761 : x
  2. Step 2: Convert to fraction form
    190,997/404,761 = 404,761/x
  3. Step 3: Cross multiply
    190,997x = 404,761 × 404,761
  4. Step 4: Simplify right side
    190,997x = 163,831,467,121
  5. Step 5: Solve for x
    x = 163,831,467,121/190,997
  6. Step 6: Final answer
    x = 857,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.