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Finding the Third Proportional to 269,484 and 449,112

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Solution

The third proportional to 269,484 and 449,112 is: 748,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,484 : 449,112 = 449,112 : x
  2. Step 2: Convert to fraction form
    269,484/449,112 = 449,112/x
  3. Step 3: Cross multiply
    269,484x = 449,112 × 449,112
  4. Step 4: Simplify right side
    269,484x = 201,701,588,544
  5. Step 5: Solve for x
    x = 201,701,588,544/269,484
  6. Step 6: Final answer
    x = 748,473.34

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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.