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Finding the Third Proportional to 299,957 and 421,869

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Solution

The third proportional to 299,957 and 421,869 is: 593,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,957 : 421,869 = 421,869 : x
  2. Step 2: Convert to fraction form
    299,957/421,869 = 421,869/x
  3. Step 3: Cross multiply
    299,957x = 421,869 × 421,869
  4. Step 4: Simplify right side
    299,957x = 177,973,453,161
  5. Step 5: Solve for x
    x = 177,973,453,161/299,957
  6. Step 6: Final answer
    x = 593,329.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.