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Finding the Third Proportional to 270,096 and 582,057

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Solution

The third proportional to 270,096 and 582,057 is: 1,254,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,096 : 582,057 = 582,057 : x
  2. Step 2: Convert to fraction form
    270,096/582,057 = 582,057/x
  3. Step 3: Cross multiply
    270,096x = 582,057 × 582,057
  4. Step 4: Simplify right side
    270,096x = 338,790,351,249
  5. Step 5: Solve for x
    x = 338,790,351,249/270,096
  6. Step 6: Final answer
    x = 1,254,333.09

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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.