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Finding the Third Proportional to 365,500 and 548,250

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Solution

The third proportional to 365,500 and 548,250 is: 822,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,500 : 548,250 = 548,250 : x
  2. Step 2: Convert to fraction form
    365,500/548,250 = 548,250/x
  3. Step 3: Cross multiply
    365,500x = 548,250 × 548,250
  4. Step 4: Simplify right side
    365,500x = 300,578,062,500
  5. Step 5: Solve for x
    x = 300,578,062,500/365,500
  6. Step 6: Final answer
    x = 822,375

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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.