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Finding the Third Proportional to 192,462 and 419,808

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Solution

The third proportional to 192,462 and 419,808 is: 915,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462 : 419,808 = 419,808 : x
  2. Step 2: Convert to fraction form
    192,462/419,808 = 419,808/x
  3. Step 3: Cross multiply
    192,462x = 419,808 × 419,808
  4. Step 4: Simplify right side
    192,462x = 176,238,756,864
  5. Step 5: Solve for x
    x = 176,238,756,864/192,462
  6. Step 6: Final answer
    x = 915,706.77

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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.