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Finding the Third Proportional to 190,606 and 414,412

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Solution

The third proportional to 190,606 and 414,412 is: 901,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,606 : 414,412 = 414,412 : x
  2. Step 2: Convert to fraction form
    190,606/414,412 = 414,412/x
  3. Step 3: Cross multiply
    190,606x = 414,412 × 414,412
  4. Step 4: Simplify right side
    190,606x = 171,737,305,744
  5. Step 5: Solve for x
    x = 171,737,305,744/190,606
  6. Step 6: Final answer
    x = 901,006.82

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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.