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Finding the Third Proportional to 379,163.81 and 825,276.56

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Solution

The third proportional to 379,163.81 and 825,276.56 is: 1,796,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,163.81 : 825,276.56 = 825,276.56 : x
  2. Step 2: Convert to fraction form
    379,163.81/825,276.56 = 825,276.56/x
  3. Step 3: Cross multiply
    379,163.81x = 825,276.56 × 825,276.56
  4. Step 4: Simplify right side
    379,163.81x = 681,081,404,611.82
  5. Step 5: Solve for x
    x = 681,081,404,611.82/379,163.81
  6. Step 6: Final answer
    x = 1,796,272.17

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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.