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Finding the Third Proportional to 416,450 and 629,802

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Solution

The third proportional to 416,450 and 629,802 is: 952,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,450 : 629,802 = 629,802 : x
  2. Step 2: Convert to fraction form
    416,450/629,802 = 629,802/x
  3. Step 3: Cross multiply
    416,450x = 629,802 × 629,802
  4. Step 4: Simplify right side
    416,450x = 396,650,559,204
  5. Step 5: Solve for x
    x = 396,650,559,204/416,450
  6. Step 6: Final answer
    x = 952,456.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.