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Finding the Third Proportional to 522,794.25 and 774,474.75

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Solution

The third proportional to 522,794.25 and 774,474.75 is: 1,147,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,794.25 : 774,474.75 = 774,474.75 : x
  2. Step 2: Convert to fraction form
    522,794.25/774,474.75 = 774,474.75/x
  3. Step 3: Cross multiply
    522,794.25x = 774,474.75 × 774,474.75
  4. Step 4: Simplify right side
    522,794.25x = 599,811,138,387.56
  5. Step 5: Solve for x
    x = 599,811,138,387.56/522,794.25
  6. Step 6: Final answer
    x = 1,147,317.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.