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Finding the Third Proportional to 365,244 and 796,922

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Solution

The third proportional to 365,244 and 796,922 is: 1,738,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,244 : 796,922 = 796,922 : x
  2. Step 2: Convert to fraction form
    365,244/796,922 = 796,922/x
  3. Step 3: Cross multiply
    365,244x = 796,922 × 796,922
  4. Step 4: Simplify right side
    365,244x = 635,084,674,084
  5. Step 5: Solve for x
    x = 635,084,674,084/365,244
  6. Step 6: Final answer
    x = 1,738,795.64

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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.