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Finding the Third Proportional to 269,474 and 449,097

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Solution

The third proportional to 269,474 and 449,097 is: 748,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,474 : 449,097 = 449,097 : x
  2. Step 2: Convert to fraction form
    269,474/449,097 = 449,097/x
  3. Step 3: Cross multiply
    269,474x = 449,097 × 449,097
  4. Step 4: Simplify right side
    269,474x = 201,688,115,409
  5. Step 5: Solve for x
    x = 201,688,115,409/269,474
  6. Step 6: Final answer
    x = 748,451.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.