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Finding the Third Proportional to 341,279,169 and 515,505,327

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Solution

The third proportional to 341,279,169 and 515,505,327 is: 778,675,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,279,169 : 515,505,327 = 515,505,327 : x
  2. Step 2: Convert to fraction form
    341,279,169/515,505,327 = 515,505,327/x
  3. Step 3: Cross multiply
    341,279,169x = 515,505,327 × 515,505,327
  4. Step 4: Simplify right side
    341,279,169x = 265,745,742,165,376,928
  5. Step 5: Solve for x
    x = 265,745,742,165,376,928/341,279,169
  6. Step 6: Final answer
    x = 778,675,542.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.