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Finding the Third Proportional to 327,361 and 706,329

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Solution

The third proportional to 327,361 and 706,329 is: 1,524,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361 : 706,329 = 706,329 : x
  2. Step 2: Convert to fraction form
    327,361/706,329 = 706,329/x
  3. Step 3: Cross multiply
    327,361x = 706,329 × 706,329
  4. Step 4: Simplify right side
    327,361x = 498,900,656,241
  5. Step 5: Solve for x
    x = 498,900,656,241/327,361
  6. Step 6: Final answer
    x = 1,524,007.61

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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.