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Finding the Third Proportional to 548,578 and 822,867

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Solution

The third proportional to 548,578 and 822,867 is: 1,234,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,578 : 822,867 = 822,867 : x
  2. Step 2: Convert to fraction form
    548,578/822,867 = 822,867/x
  3. Step 3: Cross multiply
    548,578x = 822,867 × 822,867
  4. Step 4: Simplify right side
    548,578x = 677,110,099,689
  5. Step 5: Solve for x
    x = 677,110,099,689/548,578
  6. Step 6: Final answer
    x = 1,234,300.50

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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.