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Finding the Third Proportional to 277,313.25 and 567,768.75

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Solution

The third proportional to 277,313.25 and 567,768.75 is: 1,162,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,313.25 : 567,768.75 = 567,768.75 : x
  2. Step 2: Convert to fraction form
    277,313.25/567,768.75 = 567,768.75/x
  3. Step 3: Cross multiply
    277,313.25x = 567,768.75 × 567,768.75
  4. Step 4: Simplify right side
    277,313.25x = 322,361,353,476.56
  5. Step 5: Solve for x
    x = 322,361,353,476.56/277,313.25
  6. Step 6: Final answer
    x = 1,162,444.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.