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Finding the Third Proportional to 299,832 and 642,168

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Solution

The third proportional to 299,832 and 642,168 is: 1,375,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,832 : 642,168 = 642,168 : x
  2. Step 2: Convert to fraction form
    299,832/642,168 = 642,168/x
  3. Step 3: Cross multiply
    299,832x = 642,168 × 642,168
  4. Step 4: Simplify right side
    299,832x = 412,379,740,224
  5. Step 5: Solve for x
    x = 412,379,740,224/299,832
  6. Step 6: Final answer
    x = 1,375,369.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.