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Finding the Third Proportional to 269,467 and 422,716

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Solution

The third proportional to 269,467 and 422,716 is: 663,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,467 : 422,716 = 422,716 : x
  2. Step 2: Convert to fraction form
    269,467/422,716 = 422,716/x
  3. Step 3: Cross multiply
    269,467x = 422,716 × 422,716
  4. Step 4: Simplify right side
    269,467x = 178,688,816,656
  5. Step 5: Solve for x
    x = 178,688,816,656/269,467
  6. Step 6: Final answer
    x = 663,119.48

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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.