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Finding the Third Proportional to 225,958.50 and 501,489

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Solution

The third proportional to 225,958.50 and 501,489 is: 1,112,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,958.50 : 501,489 = 501,489 : x
  2. Step 2: Convert to fraction form
    225,958.50/501,489 = 501,489/x
  3. Step 3: Cross multiply
    225,958.50x = 501,489 × 501,489
  4. Step 4: Simplify right side
    225,958.50x = 251,491,217,121
  5. Step 5: Solve for x
    x = 251,491,217,121/225,958.50
  6. Step 6: Final answer
    x = 1,112,997.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.