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Finding the Third Proportional to 496,622 and 768,824

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Solution

The third proportional to 496,622 and 768,824 is: 1,190,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,622 : 768,824 = 768,824 : x
  2. Step 2: Convert to fraction form
    496,622/768,824 = 768,824/x
  3. Step 3: Cross multiply
    496,622x = 768,824 × 768,824
  4. Step 4: Simplify right side
    496,622x = 591,090,342,976
  5. Step 5: Solve for x
    x = 591,090,342,976/496,622
  6. Step 6: Final answer
    x = 1,190,221.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.