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Finding the Third Proportional to 323,428,155 and 703,524,342

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Solution

The third proportional to 323,428,155 and 703,524,342 is: 1,530,313,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,428,155 : 703,524,342 = 703,524,342 : x
  2. Step 2: Convert to fraction form
    323,428,155/703,524,342 = 703,524,342/x
  3. Step 3: Cross multiply
    323,428,155x = 703,524,342 × 703,524,342
  4. Step 4: Simplify right side
    323,428,155x = 494,946,499,786,532,992
  5. Step 5: Solve for x
    x = 494,946,499,786,532,992/323,428,155
  6. Step 6: Final answer
    x = 1,530,313,586.29

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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.