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Finding the Third Proportional to 222,627.25 and 524,996.75

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Solution

The third proportional to 222,627.25 and 524,996.75 is: 1,238,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,627.25 : 524,996.75 = 524,996.75 : x
  2. Step 2: Convert to fraction form
    222,627.25/524,996.75 = 524,996.75/x
  3. Step 3: Cross multiply
    222,627.25x = 524,996.75 × 524,996.75
  4. Step 4: Simplify right side
    222,627.25x = 275,621,587,510.56
  5. Step 5: Solve for x
    x = 275,621,587,510.56/222,627.25
  6. Step 6: Final answer
    x = 1,238,040.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.