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Finding the Third Proportional to 258,009.75 and 582,909.75

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Solution

The third proportional to 258,009.75 and 582,909.75 is: 1,316,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009.75 : 582,909.75 = 582,909.75 : x
  2. Step 2: Convert to fraction form
    258,009.75/582,909.75 = 582,909.75/x
  3. Step 3: Cross multiply
    258,009.75x = 582,909.75 × 582,909.75
  4. Step 4: Simplify right side
    258,009.75x = 339,783,776,645.06
  5. Step 5: Solve for x
    x = 339,783,776,645.06/258,009.75
  6. Step 6: Final answer
    x = 1,316,941.61

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