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Finding the Third Proportional to 365,214 and 796,866

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Solution

The third proportional to 365,214 and 796,866 is: 1,738,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,214 : 796,866 = 796,866 : x
  2. Step 2: Convert to fraction form
    365,214/796,866 = 796,866/x
  3. Step 3: Cross multiply
    365,214x = 796,866 × 796,866
  4. Step 4: Simplify right side
    365,214x = 634,995,421,956
  5. Step 5: Solve for x
    x = 634,995,421,956/365,214
  6. Step 6: Final answer
    x = 1,738,694.09

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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.