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Finding the Third Proportional to 327,354 and 706,350

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Solution

The third proportional to 327,354 and 706,350 is: 1,524,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,354 : 706,350 = 706,350 : x
  2. Step 2: Convert to fraction form
    327,354/706,350 = 706,350/x
  3. Step 3: Cross multiply
    327,354x = 706,350 × 706,350
  4. Step 4: Simplify right side
    327,354x = 498,930,322,500
  5. Step 5: Solve for x
    x = 498,930,322,500/327,354
  6. Step 6: Final answer
    x = 1,524,130.83

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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.