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Finding the Third Proportional to 494,736 and 751,544

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Solution

The third proportional to 494,736 and 751,544 is: 1,141,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,736 : 751,544 = 751,544 : x
  2. Step 2: Convert to fraction form
    494,736/751,544 = 751,544/x
  3. Step 3: Cross multiply
    494,736x = 751,544 × 751,544
  4. Step 4: Simplify right side
    494,736x = 564,818,383,936
  5. Step 5: Solve for x
    x = 564,818,383,936/494,736
  6. Step 6: Final answer
    x = 1,141,656.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.