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Finding the Third Proportional to 365,244 and 796,923

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Solution

The third proportional to 365,244 and 796,923 is: 1,738,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,244 : 796,923 = 796,923 : x
  2. Step 2: Convert to fraction form
    365,244/796,923 = 796,923/x
  3. Step 3: Cross multiply
    365,244x = 796,923 × 796,923
  4. Step 4: Simplify right side
    365,244x = 635,086,267,929
  5. Step 5: Solve for x
    x = 635,086,267,929/365,244
  6. Step 6: Final answer
    x = 1,738,800.00

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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.