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Finding the Third Proportional to 363,398 and 796,036

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Solution

The third proportional to 363,398 and 796,036 is: 1,743,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,398 : 796,036 = 796,036 : x
  2. Step 2: Convert to fraction form
    363,398/796,036 = 796,036/x
  3. Step 3: Cross multiply
    363,398x = 796,036 × 796,036
  4. Step 4: Simplify right side
    363,398x = 633,673,313,296
  5. Step 5: Solve for x
    x = 633,673,313,296/363,398
  6. Step 6: Final answer
    x = 1,743,744.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.