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Finding the Third Proportional to 230,916 and 501,204

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Solution

The third proportional to 230,916 and 501,204 is: 1,087,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,916 : 501,204 = 501,204 : x
  2. Step 2: Convert to fraction form
    230,916/501,204 = 501,204/x
  3. Step 3: Cross multiply
    230,916x = 501,204 × 501,204
  4. Step 4: Simplify right side
    230,916x = 251,205,449,616
  5. Step 5: Solve for x
    x = 251,205,449,616/230,916
  6. Step 6: Final answer
    x = 1,087,865.07

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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.