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Finding the Third Proportional to 308,838.75 and 666,885

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Solution

The third proportional to 308,838.75 and 666,885 is: 1,440,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,838.75 : 666,885 = 666,885 : x
  2. Step 2: Convert to fraction form
    308,838.75/666,885 = 666,885/x
  3. Step 3: Cross multiply
    308,838.75x = 666,885 × 666,885
  4. Step 4: Simplify right side
    308,838.75x = 444,735,603,225
  5. Step 5: Solve for x
    x = 444,735,603,225/308,838.75
  6. Step 6: Final answer
    x = 1,440,025.27

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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.