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Finding the Third Proportional to 366,876 and 548,628

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Solution

The third proportional to 366,876 and 548,628 is: 820,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,876 : 548,628 = 548,628 : x
  2. Step 2: Convert to fraction form
    366,876/548,628 = 548,628/x
  3. Step 3: Cross multiply
    366,876x = 548,628 × 548,628
  4. Step 4: Simplify right side
    366,876x = 300,992,682,384
  5. Step 5: Solve for x
    x = 300,992,682,384/366,876
  6. Step 6: Final answer
    x = 820,420.75

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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.