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Finding the Third Proportional to 362,576 and 796,936

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Solution

The third proportional to 362,576 and 796,936 is: 1,751,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,576 : 796,936 = 796,936 : x
  2. Step 2: Convert to fraction form
    362,576/796,936 = 796,936/x
  3. Step 3: Cross multiply
    362,576x = 796,936 × 796,936
  4. Step 4: Simplify right side
    362,576x = 635,106,988,096
  5. Step 5: Solve for x
    x = 635,106,988,096/362,576
  6. Step 6: Final answer
    x = 1,751,652.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.