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Finding the Third Proportional to 366,976 and 548,758

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Solution

The third proportional to 366,976 and 548,758 is: 820,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976 : 548,758 = 548,758 : x
  2. Step 2: Convert to fraction form
    366,976/548,758 = 548,758/x
  3. Step 3: Cross multiply
    366,976x = 548,758 × 548,758
  4. Step 4: Simplify right side
    366,976x = 301,135,342,564
  5. Step 5: Solve for x
    x = 301,135,342,564/366,976
  6. Step 6: Final answer
    x = 820,585.93

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