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Finding the Third Proportional to 299,965 and 421,939

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Solution

The third proportional to 299,965 and 421,939 is: 593,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965 : 421,939 = 421,939 : x
  2. Step 2: Convert to fraction form
    299,965/421,939 = 421,939/x
  3. Step 3: Cross multiply
    299,965x = 421,939 × 421,939
  4. Step 4: Simplify right side
    299,965x = 178,032,519,721
  5. Step 5: Solve for x
    x = 178,032,519,721/299,965
  6. Step 6: Final answer
    x = 593,510.98

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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.