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Finding the Third Proportional to 205,673 and 458,608

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Solution

The third proportional to 205,673 and 458,608 is: 1,022,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,673 : 458,608 = 458,608 : x
  2. Step 2: Convert to fraction form
    205,673/458,608 = 458,608/x
  3. Step 3: Cross multiply
    205,673x = 458,608 × 458,608
  4. Step 4: Simplify right side
    205,673x = 210,321,297,664
  5. Step 5: Solve for x
    x = 210,321,297,664/205,673
  6. Step 6: Final answer
    x = 1,022,600.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.