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Finding the Third Proportional to 299,058 and 444,267

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Solution

The third proportional to 299,058 and 444,267 is: 659,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,058 : 444,267 = 444,267 : x
  2. Step 2: Convert to fraction form
    299,058/444,267 = 444,267/x
  3. Step 3: Cross multiply
    299,058x = 444,267 × 444,267
  4. Step 4: Simplify right side
    299,058x = 197,373,167,289
  5. Step 5: Solve for x
    x = 197,373,167,289/299,058
  6. Step 6: Final answer
    x = 659,982.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.