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Finding the Third Proportional to 331,267,744 and 717,743,765

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Solution

The third proportional to 331,267,744 and 717,743,765 is: 1,555,104,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,267,744 : 717,743,765 = 717,743,765 : x
  2. Step 2: Convert to fraction form
    331,267,744/717,743,765 = 717,743,765/x
  3. Step 3: Cross multiply
    331,267,744x = 717,743,765 × 717,743,765
  4. Step 4: Simplify right side
    331,267,744x = 515,156,112,196,375,232
  5. Step 5: Solve for x
    x = 515,156,112,196,375,232/331,267,744
  6. Step 6: Final answer
    x = 1,555,104,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.