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Finding the Third Proportional to 380,067.19 and 825,845.63

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Solution

The third proportional to 380,067.19 and 825,845.63 is: 1,794,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,067.19 : 825,845.63 = 825,845.63 : x
  2. Step 2: Convert to fraction form
    380,067.19/825,845.63 = 825,845.63/x
  3. Step 3: Cross multiply
    380,067.19x = 825,845.63 × 825,845.63
  4. Step 4: Simplify right side
    380,067.19x = 682,020,996,331.64
  5. Step 5: Solve for x
    x = 682,020,996,331.64/380,067.19
  6. Step 6: Final answer
    x = 1,794,474.82

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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.