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Finding the Third Proportional to 298,553,328 and 467,321,544

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Solution

The third proportional to 298,553,328 and 467,321,544 is: 731,492,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,553,328 : 467,321,544 = 467,321,544 : x
  2. Step 2: Convert to fraction form
    298,553,328/467,321,544 = 467,321,544/x
  3. Step 3: Cross multiply
    298,553,328x = 467,321,544 × 467,321,544
  4. Step 4: Simplify right side
    298,553,328x = 218,389,425,486,543,936
  5. Step 5: Solve for x
    x = 218,389,425,486,543,936/298,553,328
  6. Step 6: Final answer
    x = 731,492,182.48

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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.