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Finding the Third Proportional to 327,708,434 and 701,901,340

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Solution

The third proportional to 327,708,434 and 701,901,340 is: 1,503,365,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,708,434 : 701,901,340 = 701,901,340 : x
  2. Step 2: Convert to fraction form
    327,708,434/701,901,340 = 701,901,340/x
  3. Step 3: Cross multiply
    327,708,434x = 701,901,340 × 701,901,340
  4. Step 4: Simplify right side
    327,708,434x = 492,665,491,093,795,584
  5. Step 5: Solve for x
    x = 492,665,491,093,795,584/327,708,434
  6. Step 6: Final answer
    x = 1,503,365,308.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.