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Finding the Third Proportional to 322,284 and 699,936

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Solution

The third proportional to 322,284 and 699,936 is: 1,520,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,284 : 699,936 = 699,936 : x
  2. Step 2: Convert to fraction form
    322,284/699,936 = 699,936/x
  3. Step 3: Cross multiply
    322,284x = 699,936 × 699,936
  4. Step 4: Simplify right side
    322,284x = 489,910,404,096
  5. Step 5: Solve for x
    x = 489,910,404,096/322,284
  6. Step 6: Final answer
    x = 1,520,120.16

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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.