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Finding the Third Proportional to 331,268,264 and 717,744,709

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Solution

The third proportional to 331,268,264 and 717,744,709 is: 1,555,106,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,268,264 : 717,744,709 = 717,744,709 : x
  2. Step 2: Convert to fraction form
    331,268,264/717,744,709 = 717,744,709/x
  3. Step 3: Cross multiply
    331,268,264x = 717,744,709 × 717,744,709
  4. Step 4: Simplify right side
    331,268,264x = 515,157,467,297,494,656
  5. Step 5: Solve for x
    x = 515,157,467,297,494,656/331,268,264
  6. Step 6: Final answer
    x = 1,555,106,610.81

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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.