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Finding the Third Proportional to 303,861 and 627,162

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Solution

The third proportional to 303,861 and 627,162 is: 1,294,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,861 : 627,162 = 627,162 : x
  2. Step 2: Convert to fraction form
    303,861/627,162 = 627,162/x
  3. Step 3: Cross multiply
    303,861x = 627,162 × 627,162
  4. Step 4: Simplify right side
    303,861x = 393,332,174,244
  5. Step 5: Solve for x
    x = 393,332,174,244/303,861
  6. Step 6: Final answer
    x = 1,294,447.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.