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Finding the Third Proportional to 374,067 and 796,996

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Solution

The third proportional to 374,067 and 796,996 is: 1,698,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,067 : 796,996 = 796,996 : x
  2. Step 2: Convert to fraction form
    374,067/796,996 = 796,996/x
  3. Step 3: Cross multiply
    374,067x = 796,996 × 796,996
  4. Step 4: Simplify right side
    374,067x = 635,202,624,016
  5. Step 5: Solve for x
    x = 635,202,624,016/374,067
  6. Step 6: Final answer
    x = 1,698,098.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.