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Finding the Third Proportional to 258,522.75 and 558,550.50

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Solution

The third proportional to 258,522.75 and 558,550.50 is: 1,206,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,522.75 : 558,550.50 = 558,550.50 : x
  2. Step 2: Convert to fraction form
    258,522.75/558,550.50 = 558,550.50/x
  3. Step 3: Cross multiply
    258,522.75x = 558,550.50 × 558,550.50
  4. Step 4: Simplify right side
    258,522.75x = 311,978,661,050.25
  5. Step 5: Solve for x
    x = 311,978,661,050.25/258,522.75
  6. Step 6: Final answer
    x = 1,206,774.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.