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Finding the Third Proportional to 192,586 and 418,964

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Solution

The third proportional to 192,586 and 418,964 is: 911,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,586 : 418,964 = 418,964 : x
  2. Step 2: Convert to fraction form
    192,586/418,964 = 418,964/x
  3. Step 3: Cross multiply
    192,586x = 418,964 × 418,964
  4. Step 4: Simplify right side
    192,586x = 175,530,833,296
  5. Step 5: Solve for x
    x = 175,530,833,296/192,586
  6. Step 6: Final answer
    x = 911,441.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.