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Finding the Third Proportional to 269,472 and 422,721

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Solution

The third proportional to 269,472 and 422,721 is: 663,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,472 : 422,721 = 422,721 : x
  2. Step 2: Convert to fraction form
    269,472/422,721 = 422,721/x
  3. Step 3: Cross multiply
    269,472x = 422,721 × 422,721
  4. Step 4: Simplify right side
    269,472x = 178,693,043,841
  5. Step 5: Solve for x
    x = 178,693,043,841/269,472
  6. Step 6: Final answer
    x = 663,122.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.