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Finding the Third Proportional to 171,828 and 406,269

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Solution

The third proportional to 171,828 and 406,269 is: 960,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828 : 406,269 = 406,269 : x
  2. Step 2: Convert to fraction form
    171,828/406,269 = 406,269/x
  3. Step 3: Cross multiply
    171,828x = 406,269 × 406,269
  4. Step 4: Simplify right side
    171,828x = 165,054,500,361
  5. Step 5: Solve for x
    x = 165,054,500,361/171,828
  6. Step 6: Final answer
    x = 960,579.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.