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Finding the Third Proportional to 325,837 and 681,450

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Solution

The third proportional to 325,837 and 681,450 is: 1,425,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,837 : 681,450 = 681,450 : x
  2. Step 2: Convert to fraction form
    325,837/681,450 = 681,450/x
  3. Step 3: Cross multiply
    325,837x = 681,450 × 681,450
  4. Step 4: Simplify right side
    325,837x = 464,374,102,500
  5. Step 5: Solve for x
    x = 464,374,102,500/325,837
  6. Step 6: Final answer
    x = 1,425,173.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.