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Finding the Third Proportional to 326,494 and 682,508

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Solution

The third proportional to 326,494 and 682,508 is: 1,426,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,494 : 682,508 = 682,508 : x
  2. Step 2: Convert to fraction form
    326,494/682,508 = 682,508/x
  3. Step 3: Cross multiply
    326,494x = 682,508 × 682,508
  4. Step 4: Simplify right side
    326,494x = 465,817,170,064
  5. Step 5: Solve for x
    x = 465,817,170,064/326,494
  6. Step 6: Final answer
    x = 1,426,725.05

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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.