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Finding the Third Proportional to 194,884 and 419,848

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Solution

The third proportional to 194,884 and 419,848 is: 904,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,884 : 419,848 = 419,848 : x
  2. Step 2: Convert to fraction form
    194,884/419,848 = 419,848/x
  3. Step 3: Cross multiply
    194,884x = 419,848 × 419,848
  4. Step 4: Simplify right side
    194,884x = 176,272,343,104
  5. Step 5: Solve for x
    x = 176,272,343,104/194,884
  6. Step 6: Final answer
    x = 904,498.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.