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Finding the Third Proportional to 258,727.50 and 565,548.75

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Solution

The third proportional to 258,727.50 and 565,548.75 is: 1,236,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,727.50 : 565,548.75 = 565,548.75 : x
  2. Step 2: Convert to fraction form
    258,727.50/565,548.75 = 565,548.75/x
  3. Step 3: Cross multiply
    258,727.50x = 565,548.75 × 565,548.75
  4. Step 4: Simplify right side
    258,727.50x = 319,845,388,626.56
  5. Step 5: Solve for x
    x = 319,845,388,626.56/258,727.50
  6. Step 6: Final answer
    x = 1,236,224.94

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