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Finding the Third Proportional to 422,597.25 and 996,594.75

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Solution

The third proportional to 422,597.25 and 996,594.75 is: 2,350,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,597.25 : 996,594.75 = 996,594.75 : x
  2. Step 2: Convert to fraction form
    422,597.25/996,594.75 = 996,594.75/x
  3. Step 3: Cross multiply
    422,597.25x = 996,594.75 × 996,594.75
  4. Step 4: Simplify right side
    422,597.25x = 993,201,095,727.56
  5. Step 5: Solve for x
    x = 993,201,095,727.56/422,597.25
  6. Step 6: Final answer
    x = 2,350,230.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.