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Finding the Third Proportional to 194,782 and 419,567

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Solution

The third proportional to 194,782 and 419,567 is: 903,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,782 : 419,567 = 419,567 : x
  2. Step 2: Convert to fraction form
    194,782/419,567 = 419,567/x
  3. Step 3: Cross multiply
    194,782x = 419,567 × 419,567
  4. Step 4: Simplify right side
    194,782x = 176,036,467,489
  5. Step 5: Solve for x
    x = 176,036,467,489/194,782
  6. Step 6: Final answer
    x = 903,761.47

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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.