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Finding the Third Proportional to 422,705.25 and 996,828.75

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Solution

The third proportional to 422,705.25 and 996,828.75 is: 2,350,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,705.25 : 996,828.75 = 996,828.75 : x
  2. Step 2: Convert to fraction form
    422,705.25/996,828.75 = 996,828.75/x
  3. Step 3: Cross multiply
    422,705.25x = 996,828.75 × 996,828.75
  4. Step 4: Simplify right side
    422,705.25x = 993,667,556,826.56
  5. Step 5: Solve for x
    x = 993,667,556,826.56/422,705.25
  6. Step 6: Final answer
    x = 2,350,733.89

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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.