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Finding the Third Proportional to 365,504 and 548,256

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Solution

The third proportional to 365,504 and 548,256 is: 822,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,504 : 548,256 = 548,256 : x
  2. Step 2: Convert to fraction form
    365,504/548,256 = 548,256/x
  3. Step 3: Cross multiply
    365,504x = 548,256 × 548,256
  4. Step 4: Simplify right side
    365,504x = 300,584,641,536
  5. Step 5: Solve for x
    x = 300,584,641,536/365,504
  6. Step 6: Final answer
    x = 822,384

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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.