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Finding the Third Proportional to 320,397 and 682,206

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Solution

The third proportional to 320,397 and 682,206 is: 1,452,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,397 : 682,206 = 682,206 : x
  2. Step 2: Convert to fraction form
    320,397/682,206 = 682,206/x
  3. Step 3: Cross multiply
    320,397x = 682,206 × 682,206
  4. Step 4: Simplify right side
    320,397x = 465,405,026,436
  5. Step 5: Solve for x
    x = 465,405,026,436/320,397
  6. Step 6: Final answer
    x = 1,452,588.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.