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Finding the Third Proportional to 308,397 and 449,469

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Solution

The third proportional to 308,397 and 449,469 is: 655,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,397 : 449,469 = 449,469 : x
  2. Step 2: Convert to fraction form
    308,397/449,469 = 449,469/x
  3. Step 3: Cross multiply
    308,397x = 449,469 × 449,469
  4. Step 4: Simplify right side
    308,397x = 202,022,381,961
  5. Step 5: Solve for x
    x = 202,022,381,961/308,397
  6. Step 6: Final answer
    x = 655,072.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.