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Finding the Third Proportional to 194,859 and 418,727

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Solution

The third proportional to 194,859 and 418,727 is: 899,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,859 : 418,727 = 418,727 : x
  2. Step 2: Convert to fraction form
    194,859/418,727 = 418,727/x
  3. Step 3: Cross multiply
    194,859x = 418,727 × 418,727
  4. Step 4: Simplify right side
    194,859x = 175,332,300,529
  5. Step 5: Solve for x
    x = 175,332,300,529/194,859
  6. Step 6: Final answer
    x = 899,790.62

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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.