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Finding the Third Proportional to 434,450 and 908,601

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Solution

The third proportional to 434,450 and 908,601 is: 1,900,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,450 : 908,601 = 908,601 : x
  2. Step 2: Convert to fraction form
    434,450/908,601 = 908,601/x
  3. Step 3: Cross multiply
    434,450x = 908,601 × 908,601
  4. Step 4: Simplify right side
    434,450x = 825,555,777,201
  5. Step 5: Solve for x
    x = 825,555,777,201/434,450
  6. Step 6: Final answer
    x = 1,900,231.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.