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Finding the Third Proportional to 201,734 and 434,589

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Solution

The third proportional to 201,734 and 434,589 is: 936,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734 : 434,589 = 434,589 : x
  2. Step 2: Convert to fraction form
    201,734/434,589 = 434,589/x
  3. Step 3: Cross multiply
    201,734x = 434,589 × 434,589
  4. Step 4: Simplify right side
    201,734x = 188,867,598,921
  5. Step 5: Solve for x
    x = 188,867,598,921/201,734
  6. Step 6: Final answer
    x = 936,220.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.