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Finding the Third Proportional to 258,016.88 and 582,927.75

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Solution

The third proportional to 258,016.88 and 582,927.75 is: 1,316,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,016.88 : 582,927.75 = 582,927.75 : x
  2. Step 2: Convert to fraction form
    258,016.88/582,927.75 = 582,927.75/x
  3. Step 3: Cross multiply
    258,016.88x = 582,927.75 × 582,927.75
  4. Step 4: Simplify right side
    258,016.88x = 339,804,761,720.06
  5. Step 5: Solve for x
    x = 339,804,761,720.06/258,016.88
  6. Step 6: Final answer
    x = 1,316,986.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.