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Finding the Third Proportional to 269,214 and 422,376

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Solution

The third proportional to 269,214 and 422,376 is: 662,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,214 : 422,376 = 422,376 : x
  2. Step 2: Convert to fraction form
    269,214/422,376 = 422,376/x
  3. Step 3: Cross multiply
    269,214x = 422,376 × 422,376
  4. Step 4: Simplify right side
    269,214x = 178,401,485,376
  5. Step 5: Solve for x
    x = 178,401,485,376/269,214
  6. Step 6: Final answer
    x = 662,675.36

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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.