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Finding the Third Proportional to 412,850 and 629,947

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Solution

The third proportional to 412,850 and 629,947 is: 961,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,850 : 629,947 = 629,947 : x
  2. Step 2: Convert to fraction form
    412,850/629,947 = 629,947/x
  3. Step 3: Cross multiply
    412,850x = 629,947 × 629,947
  4. Step 4: Simplify right side
    412,850x = 396,833,222,809
  5. Step 5: Solve for x
    x = 396,833,222,809/412,850
  6. Step 6: Final answer
    x = 961,204.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.