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Finding the Third Proportional to 362,578 and 796,940

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Solution

The third proportional to 362,578 and 796,940 is: 1,751,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,578 : 796,940 = 796,940 : x
  2. Step 2: Convert to fraction form
    362,578/796,940 = 796,940/x
  3. Step 3: Cross multiply
    362,578x = 796,940 × 796,940
  4. Step 4: Simplify right side
    362,578x = 635,113,363,600
  5. Step 5: Solve for x
    x = 635,113,363,600/362,578
  6. Step 6: Final answer
    x = 1,751,659.96

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