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Finding the Third Proportional to 190,059 and 412,977

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Solution

The third proportional to 190,059 and 412,977 is: 897,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,059 : 412,977 = 412,977 : x
  2. Step 2: Convert to fraction form
    190,059/412,977 = 412,977/x
  3. Step 3: Cross multiply
    190,059x = 412,977 × 412,977
  4. Step 4: Simplify right side
    190,059x = 170,550,002,529
  5. Step 5: Solve for x
    x = 170,550,002,529/190,059
  6. Step 6: Final answer
    x = 897,352.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.