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Finding the Third Proportional to 194,815 and 419,722

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Solution

The third proportional to 194,815 and 419,722 is: 904,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,815 : 419,722 = 419,722 : x
  2. Step 2: Convert to fraction form
    194,815/419,722 = 419,722/x
  3. Step 3: Cross multiply
    194,815x = 419,722 × 419,722
  4. Step 4: Simplify right side
    194,815x = 176,166,557,284
  5. Step 5: Solve for x
    x = 176,166,557,284/194,815
  6. Step 6: Final answer
    x = 904,276.15

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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.