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Finding the Third Proportional to 194,784 and 419,571

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Solution

The third proportional to 194,784 and 419,571 is: 903,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784 : 419,571 = 419,571 : x
  2. Step 2: Convert to fraction form
    194,784/419,571 = 419,571/x
  3. Step 3: Cross multiply
    194,784x = 419,571 × 419,571
  4. Step 4: Simplify right side
    194,784x = 176,039,824,041
  5. Step 5: Solve for x
    x = 176,039,824,041/194,784
  6. Step 6: Final answer
    x = 903,769.43

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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.