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Finding the Third Proportional to 190,852 and 414,589

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Solution

The third proportional to 190,852 and 414,589 is: 900,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,852 : 414,589 = 414,589 : x
  2. Step 2: Convert to fraction form
    190,852/414,589 = 414,589/x
  3. Step 3: Cross multiply
    190,852x = 414,589 × 414,589
  4. Step 4: Simplify right side
    190,852x = 171,884,038,921
  5. Step 5: Solve for x
    x = 171,884,038,921/190,852
  6. Step 6: Final answer
    x = 900,614.29

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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.