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Finding the Third Proportional to 327,328 and 706,304

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Solution

The third proportional to 327,328 and 706,304 is: 1,524,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,328 : 706,304 = 706,304 : x
  2. Step 2: Convert to fraction form
    327,328/706,304 = 706,304/x
  3. Step 3: Cross multiply
    327,328x = 706,304 × 706,304
  4. Step 4: Simplify right side
    327,328x = 498,865,340,416
  5. Step 5: Solve for x
    x = 498,865,340,416/327,328
  6. Step 6: Final answer
    x = 1,524,053.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.