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Finding the Third Proportional to 327,228 and 694,002

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Solution

The third proportional to 327,228 and 694,002 is: 1,471,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,228 : 694,002 = 694,002 : x
  2. Step 2: Convert to fraction form
    327,228/694,002 = 694,002/x
  3. Step 3: Cross multiply
    327,228x = 694,002 × 694,002
  4. Step 4: Simplify right side
    327,228x = 481,638,776,004
  5. Step 5: Solve for x
    x = 481,638,776,004/327,228
  6. Step 6: Final answer
    x = 1,471,875.19

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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.