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Finding the Third Proportional to 445,608.75 and 962,238.75

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Solution

The third proportional to 445,608.75 and 962,238.75 is: 2,077,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,608.75 : 962,238.75 = 962,238.75 : x
  2. Step 2: Convert to fraction form
    445,608.75/962,238.75 = 962,238.75/x
  3. Step 3: Cross multiply
    445,608.75x = 962,238.75 × 962,238.75
  4. Step 4: Simplify right side
    445,608.75x = 925,903,412,001.56
  5. Step 5: Solve for x
    x = 925,903,412,001.56/445,608.75
  6. Step 6: Final answer
    x = 2,077,839.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.