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Finding the Third Proportional to 308,838.50 and 666,884

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Solution

The third proportional to 308,838.50 and 666,884 is: 1,440,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,838.50 : 666,884 = 666,884 : x
  2. Step 2: Convert to fraction form
    308,838.50/666,884 = 666,884/x
  3. Step 3: Cross multiply
    308,838.50x = 666,884 × 666,884
  4. Step 4: Simplify right side
    308,838.50x = 444,734,269,456
  5. Step 5: Solve for x
    x = 444,734,269,456/308,838.50
  6. Step 6: Final answer
    x = 1,440,022.11

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Why These Related Problems?

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