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Finding the Third Proportional to 190,635 and 414,469

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Solution

The third proportional to 190,635 and 414,469 is: 901,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,635 : 414,469 = 414,469 : x
  2. Step 2: Convert to fraction form
    190,635/414,469 = 414,469/x
  3. Step 3: Cross multiply
    190,635x = 414,469 × 414,469
  4. Step 4: Simplify right side
    190,635x = 171,784,551,961
  5. Step 5: Solve for x
    x = 171,784,551,961/190,635
  6. Step 6: Final answer
    x = 901,117.59

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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.