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Finding the Third Proportional to 266,504.06 and 582,832.69

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Solution

The third proportional to 266,504.06 and 582,832.69 is: 1,274,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,504.06 : 582,832.69 = 582,832.69 : x
  2. Step 2: Convert to fraction form
    266,504.06/582,832.69 = 582,832.69/x
  3. Step 3: Cross multiply
    266,504.06x = 582,832.69 × 582,832.69
  4. Step 4: Simplify right side
    266,504.06x = 339,693,941,618.47
  5. Step 5: Solve for x
    x = 339,693,941,618.47/266,504.06
  6. Step 6: Final answer
    x = 1,274,629.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.