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Finding the Third Proportional to 190,822 and 414,449

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Solution

The third proportional to 190,822 and 414,449 is: 900,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,822 : 414,449 = 414,449 : x
  2. Step 2: Convert to fraction form
    190,822/414,449 = 414,449/x
  3. Step 3: Cross multiply
    190,822x = 414,449 × 414,449
  4. Step 4: Simplify right side
    190,822x = 171,767,973,601
  5. Step 5: Solve for x
    x = 171,767,973,601/190,822
  6. Step 6: Final answer
    x = 900,147.64

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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.