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Finding the Third Proportional to 207,578 and 451,444

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Solution

The third proportional to 207,578 and 451,444 is: 981,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,578 : 451,444 = 451,444 : x
  2. Step 2: Convert to fraction form
    207,578/451,444 = 451,444/x
  3. Step 3: Cross multiply
    207,578x = 451,444 × 451,444
  4. Step 4: Simplify right side
    207,578x = 203,801,685,136
  5. Step 5: Solve for x
    x = 203,801,685,136/207,578
  6. Step 6: Final answer
    x = 981,807.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.