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Finding the Third Proportional to 366,974 and 548,750

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Solution

The third proportional to 366,974 and 548,750 is: 820,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974 : 548,750 = 548,750 : x
  2. Step 2: Convert to fraction form
    366,974/548,750 = 548,750/x
  3. Step 3: Cross multiply
    366,974x = 548,750 × 548,750
  4. Step 4: Simplify right side
    366,974x = 301,126,562,500
  5. Step 5: Solve for x
    x = 301,126,562,500/366,974
  6. Step 6: Final answer
    x = 820,566.48

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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.