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Finding the Third Proportional to 496,674 and 768,884

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Solution

The third proportional to 496,674 and 768,884 is: 1,190,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,674 : 768,884 = 768,884 : x
  2. Step 2: Convert to fraction form
    496,674/768,884 = 768,884/x
  3. Step 3: Cross multiply
    496,674x = 768,884 × 768,884
  4. Step 4: Simplify right side
    496,674x = 591,182,605,456
  5. Step 5: Solve for x
    x = 591,182,605,456/496,674
  6. Step 6: Final answer
    x = 1,190,282.97

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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.