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Finding the Third Proportional to 205,928 and 446,732

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Solution

The third proportional to 205,928 and 446,732 is: 969,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928 : 446,732 = 446,732 : x
  2. Step 2: Convert to fraction form
    205,928/446,732 = 446,732/x
  3. Step 3: Cross multiply
    205,928x = 446,732 × 446,732
  4. Step 4: Simplify right side
    205,928x = 199,569,479,824
  5. Step 5: Solve for x
    x = 199,569,479,824/205,928
  6. Step 6: Final answer
    x = 969,122.61

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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.