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Finding the Third Proportional to 367,367.25 and 796,040.25

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Solution

The third proportional to 367,367.25 and 796,040.25 is: 1,724,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,367.25 : 796,040.25 = 796,040.25 : x
  2. Step 2: Convert to fraction form
    367,367.25/796,040.25 = 796,040.25/x
  3. Step 3: Cross multiply
    367,367.25x = 796,040.25 × 796,040.25
  4. Step 4: Simplify right side
    367,367.25x = 633,680,079,620.06
  5. Step 5: Solve for x
    x = 633,680,079,620.06/367,367.25
  6. Step 6: Final answer
    x = 1,724,922.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.