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Finding the Third Proportional to 364,879.69 and 796,204.69

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Solution

The third proportional to 364,879.69 and 796,204.69 is: 1,737,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,879.69 : 796,204.69 = 796,204.69 : x
  2. Step 2: Convert to fraction form
    364,879.69/796,204.69 = 796,204.69/x
  3. Step 3: Cross multiply
    364,879.69x = 796,204.69 × 796,204.69
  4. Step 4: Simplify right side
    364,879.69x = 633,941,904,396.97
  5. Step 5: Solve for x
    x = 633,941,904,396.97/364,879.69
  6. Step 6: Final answer
    x = 1,737,399.82

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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.