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Finding the Third Proportional to 323,428,153 and 703,524,338

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Solution

The third proportional to 323,428,153 and 703,524,338 is: 1,530,313,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,428,153 : 703,524,338 = 703,524,338 : x
  2. Step 2: Convert to fraction form
    323,428,153/703,524,338 = 703,524,338/x
  3. Step 3: Cross multiply
    323,428,153x = 703,524,338 × 703,524,338
  4. Step 4: Simplify right side
    323,428,153x = 494,946,494,158,338,240
  5. Step 5: Solve for x
    x = 494,946,494,158,338,240/323,428,153
  6. Step 6: Final answer
    x = 1,530,313,578.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.