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Finding the Third Proportional to 381,241.69 and 825,246.56

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Solution

The third proportional to 381,241.69 and 825,246.56 is: 1,786,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,241.69 : 825,246.56 = 825,246.56 : x
  2. Step 2: Convert to fraction form
    381,241.69/825,246.56 = 825,246.56/x
  3. Step 3: Cross multiply
    381,241.69x = 825,246.56 × 825,246.56
  4. Step 4: Simplify right side
    381,241.69x = 681,031,888,918.07
  5. Step 5: Solve for x
    x = 681,031,888,918.07/381,241.69
  6. Step 6: Final answer
    x = 1,786,352.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.