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Finding the Third Proportional to 467,874 and 666,819

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Solution

The third proportional to 467,874 and 666,819 is: 950,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,874 : 666,819 = 666,819 : x
  2. Step 2: Convert to fraction form
    467,874/666,819 = 666,819/x
  3. Step 3: Cross multiply
    467,874x = 666,819 × 666,819
  4. Step 4: Simplify right side
    467,874x = 444,647,578,761
  5. Step 5: Solve for x
    x = 444,647,578,761/467,874
  6. Step 6: Final answer
    x = 950,357.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.