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Finding the Third Proportional to 375,961,208 and 574,747,824

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Solution

The third proportional to 375,961,208 and 574,747,824 is: 878,641,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,961,208 : 574,747,824 = 574,747,824 : x
  2. Step 2: Convert to fraction form
    375,961,208/574,747,824 = 574,747,824/x
  3. Step 3: Cross multiply
    375,961,208x = 574,747,824 × 574,747,824
  4. Step 4: Simplify right side
    375,961,208x = 330,335,061,192,734,976
  5. Step 5: Solve for x
    x = 330,335,061,192,734,976/375,961,208
  6. Step 6: Final answer
    x = 878,641,344.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.