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Finding the Third Proportional to 422,599.50 and 996,585.75

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Solution

The third proportional to 422,599.50 and 996,585.75 is: 2,350,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599.50 : 996,585.75 = 996,585.75 : x
  2. Step 2: Convert to fraction form
    422,599.50/996,585.75 = 996,585.75/x
  3. Step 3: Cross multiply
    422,599.50x = 996,585.75 × 996,585.75
  4. Step 4: Simplify right side
    422,599.50x = 993,183,157,103.06
  5. Step 5: Solve for x
    x = 993,183,157,103.06/422,599.50
  6. Step 6: Final answer
    x = 2,350,175.89

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