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Finding the Third Proportional to 299,968 and 421,884

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Solution

The third proportional to 299,968 and 421,884 is: 593,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,968 : 421,884 = 421,884 : x
  2. Step 2: Convert to fraction form
    299,968/421,884 = 421,884/x
  3. Step 3: Cross multiply
    299,968x = 421,884 × 421,884
  4. Step 4: Simplify right side
    299,968x = 177,986,109,456
  5. Step 5: Solve for x
    x = 177,986,109,456/299,968
  6. Step 6: Final answer
    x = 593,350.32

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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.