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Finding the Third Proportional to 326,722 and 693,098

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Solution

The third proportional to 326,722 and 693,098 is: 1,470,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,722 : 693,098 = 693,098 : x
  2. Step 2: Convert to fraction form
    326,722/693,098 = 693,098/x
  3. Step 3: Cross multiply
    326,722x = 693,098 × 693,098
  4. Step 4: Simplify right side
    326,722x = 480,384,837,604
  5. Step 5: Solve for x
    x = 480,384,837,604/326,722
  6. Step 6: Final answer
    x = 1,470,316.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.