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Finding the Third Proportional to 190,612 and 418,568

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Solution

The third proportional to 190,612 and 418,568 is: 919,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,612 : 418,568 = 418,568 : x
  2. Step 2: Convert to fraction form
    190,612/418,568 = 418,568/x
  3. Step 3: Cross multiply
    190,612x = 418,568 × 418,568
  4. Step 4: Simplify right side
    190,612x = 175,199,170,624
  5. Step 5: Solve for x
    x = 175,199,170,624/190,612
  6. Step 6: Final answer
    x = 919,140.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.