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Finding the Third Proportional to 370,036 and 796,204

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Solution

The third proportional to 370,036 and 796,204 is: 1,713,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,036 : 796,204 = 796,204 : x
  2. Step 2: Convert to fraction form
    370,036/796,204 = 796,204/x
  3. Step 3: Cross multiply
    370,036x = 796,204 × 796,204
  4. Step 4: Simplify right side
    370,036x = 633,940,809,616
  5. Step 5: Solve for x
    x = 633,940,809,616/370,036
  6. Step 6: Final answer
    x = 1,713,186.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.