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Finding the Third Proportional to 325,850 and 681,493

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Solution

The third proportional to 325,850 and 681,493 is: 1,425,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,850 : 681,493 = 681,493 : x
  2. Step 2: Convert to fraction form
    325,850/681,493 = 681,493/x
  3. Step 3: Cross multiply
    325,850x = 681,493 × 681,493
  4. Step 4: Simplify right side
    325,850x = 464,432,709,049
  5. Step 5: Solve for x
    x = 464,432,709,049/325,850
  6. Step 6: Final answer
    x = 1,425,296.02

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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.