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Finding the Third Proportional to 365,379 and 796,983

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Solution

The third proportional to 365,379 and 796,983 is: 1,738,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,379 : 796,983 = 796,983 : x
  2. Step 2: Convert to fraction form
    365,379/796,983 = 796,983/x
  3. Step 3: Cross multiply
    365,379x = 796,983 × 796,983
  4. Step 4: Simplify right side
    365,379x = 635,181,902,289
  5. Step 5: Solve for x
    x = 635,181,902,289/365,379
  6. Step 6: Final answer
    x = 1,738,419.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.