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Finding the Third Proportional to 327,268,084.50 and 706,451,310

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Solution

The third proportional to 327,268,084.50 and 706,451,310 is: 1,524,968,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,084.50 : 706,451,310 = 706,451,310 : x
  2. Step 2: Convert to fraction form
    327,268,084.50/706,451,310 = 706,451,310/x
  3. Step 3: Cross multiply
    327,268,084.50x = 706,451,310 × 706,451,310
  4. Step 4: Simplify right side
    327,268,084.50x = 499,073,453,400,716,096
  5. Step 5: Solve for x
    x = 499,073,453,400,716,096/327,268,084.50
  6. Step 6: Final answer
    x = 1,524,968,296.75

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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.