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Finding the Third Proportional to 298,553,328 and 467,321,508

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Solution

The third proportional to 298,553,328 and 467,321,508 is: 731,492,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,553,328 : 467,321,508 = 467,321,508 : x
  2. Step 2: Convert to fraction form
    298,553,328/467,321,508 = 467,321,508/x
  3. Step 3: Cross multiply
    298,553,328x = 467,321,508 × 467,321,508
  4. Step 4: Simplify right side
    298,553,328x = 218,389,391,839,394,048
  5. Step 5: Solve for x
    x = 218,389,391,839,394,048/298,553,328
  6. Step 6: Final answer
    x = 731,492,069.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.