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Finding the Third Proportional to 190,631 and 412,643

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Solution

The third proportional to 190,631 and 412,643 is: 893,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,631 : 412,643 = 412,643 : x
  2. Step 2: Convert to fraction form
    190,631/412,643 = 412,643/x
  3. Step 3: Cross multiply
    190,631x = 412,643 × 412,643
  4. Step 4: Simplify right side
    190,631x = 170,274,245,449
  5. Step 5: Solve for x
    x = 170,274,245,449/190,631
  6. Step 6: Final answer
    x = 893,213.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.