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Finding the Third Proportional to 326,496 and 682,512

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Solution

The third proportional to 326,496 and 682,512 is: 1,426,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,496 : 682,512 = 682,512 : x
  2. Step 2: Convert to fraction form
    326,496/682,512 = 682,512/x
  3. Step 3: Cross multiply
    326,496x = 682,512 × 682,512
  4. Step 4: Simplify right side
    326,496x = 465,822,630,144
  5. Step 5: Solve for x
    x = 465,822,630,144/326,496
  6. Step 6: Final answer
    x = 1,426,733.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.