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Finding the Third Proportional to 362,586 and 796,954

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Solution

The third proportional to 362,586 and 796,954 is: 1,751,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,586 : 796,954 = 796,954 : x
  2. Step 2: Convert to fraction form
    362,586/796,954 = 796,954/x
  3. Step 3: Cross multiply
    362,586x = 796,954 × 796,954
  4. Step 4: Simplify right side
    362,586x = 635,135,678,116
  5. Step 5: Solve for x
    x = 635,135,678,116/362,586
  6. Step 6: Final answer
    x = 1,751,682.85

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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.