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Finding the Third Proportional to 270,093 and 582,051

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Solution

The third proportional to 270,093 and 582,051 is: 1,254,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,093 : 582,051 = 582,051 : x
  2. Step 2: Convert to fraction form
    270,093/582,051 = 582,051/x
  3. Step 3: Cross multiply
    270,093x = 582,051 × 582,051
  4. Step 4: Simplify right side
    270,093x = 338,783,366,601
  5. Step 5: Solve for x
    x = 338,783,366,601/270,093
  6. Step 6: Final answer
    x = 1,254,321.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.