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Finding the Third Proportional to 327,268,081.50 and 706,451,304

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Solution

The third proportional to 327,268,081.50 and 706,451,304 is: 1,524,968,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,081.50 : 706,451,304 = 706,451,304 : x
  2. Step 2: Convert to fraction form
    327,268,081.50/706,451,304 = 706,451,304/x
  3. Step 3: Cross multiply
    327,268,081.50x = 706,451,304 × 706,451,304
  4. Step 4: Simplify right side
    327,268,081.50x = 499,073,444,923,300,416
  5. Step 5: Solve for x
    x = 499,073,444,923,300,416/327,268,081.50
  6. Step 6: Final answer
    x = 1,524,968,284.83

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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.