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Finding the Third Proportional to 194,647 and 419,678

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Solution

The third proportional to 194,647 and 419,678 is: 904,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,647 : 419,678 = 419,678 : x
  2. Step 2: Convert to fraction form
    194,647/419,678 = 419,678/x
  3. Step 3: Cross multiply
    194,647x = 419,678 × 419,678
  4. Step 4: Simplify right side
    194,647x = 176,129,623,684
  5. Step 5: Solve for x
    x = 176,129,623,684/194,647
  6. Step 6: Final answer
    x = 904,866.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.