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Finding the Third Proportional to 323,428,148 and 703,524,328

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Solution

The third proportional to 323,428,148 and 703,524,328 is: 1,530,313,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,428,148 : 703,524,328 = 703,524,328 : x
  2. Step 2: Convert to fraction form
    323,428,148/703,524,328 = 703,524,328/x
  3. Step 3: Cross multiply
    323,428,148x = 703,524,328 × 703,524,328
  4. Step 4: Simplify right side
    323,428,148x = 494,946,480,087,851,584
  5. Step 5: Solve for x
    x = 494,946,480,087,851,584/323,428,148
  6. Step 6: Final answer
    x = 1,530,313,558.51

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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.