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Finding the Third Proportional to 267,458,032 and 582,397,762

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Solution

The third proportional to 267,458,032 and 582,397,762 is: 1,268,188,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,458,032 : 582,397,762 = 582,397,762 : x
  2. Step 2: Convert to fraction form
    267,458,032/582,397,762 = 582,397,762/x
  3. Step 3: Cross multiply
    267,458,032x = 582,397,762 × 582,397,762
  4. Step 4: Simplify right side
    267,458,032x = 339,187,153,182,608,640
  5. Step 5: Solve for x
    x = 339,187,153,182,608,640/267,458,032
  6. Step 6: Final answer
    x = 1,268,188,323.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.