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Finding the Third Proportional to 454,578 and 681,867

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Solution

The third proportional to 454,578 and 681,867 is: 1,022,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,578 : 681,867 = 681,867 : x
  2. Step 2: Convert to fraction form
    454,578/681,867 = 681,867/x
  3. Step 3: Cross multiply
    454,578x = 681,867 × 681,867
  4. Step 4: Simplify right side
    454,578x = 464,942,605,689
  5. Step 5: Solve for x
    x = 464,942,605,689/454,578
  6. Step 6: Final answer
    x = 1,022,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.