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Finding the Third Proportional to 210,744 and 451,116

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Solution

The third proportional to 210,744 and 451,116 is: 965,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,744 : 451,116 = 451,116 : x
  2. Step 2: Convert to fraction form
    210,744/451,116 = 451,116/x
  3. Step 3: Cross multiply
    210,744x = 451,116 × 451,116
  4. Step 4: Simplify right side
    210,744x = 203,505,645,456
  5. Step 5: Solve for x
    x = 203,505,645,456/210,744
  6. Step 6: Final answer
    x = 965,653.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.