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Finding the Third Proportional to 326,727 and 693,108

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Solution

The third proportional to 326,727 and 693,108 is: 1,470,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,727 : 693,108 = 693,108 : x
  2. Step 2: Convert to fraction form
    326,727/693,108 = 693,108/x
  3. Step 3: Cross multiply
    326,727x = 693,108 × 693,108
  4. Step 4: Simplify right side
    326,727x = 480,398,699,664
  5. Step 5: Solve for x
    x = 480,398,699,664/326,727
  6. Step 6: Final answer
    x = 1,470,336.70

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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.