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Finding the Third Proportional to 327,828 and 708,144

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Solution

The third proportional to 327,828 and 708,144 is: 1,529,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,828 : 708,144 = 708,144 : x
  2. Step 2: Convert to fraction form
    327,828/708,144 = 708,144/x
  3. Step 3: Cross multiply
    327,828x = 708,144 × 708,144
  4. Step 4: Simplify right side
    327,828x = 501,467,924,736
  5. Step 5: Solve for x
    x = 501,467,924,736/327,828
  6. Step 6: Final answer
    x = 1,529,667.77

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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.