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Finding the Third Proportional to 215,469 and 468,249

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Solution

The third proportional to 215,469 and 468,249 is: 1,017,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,469 : 468,249 = 468,249 : x
  2. Step 2: Convert to fraction form
    215,469/468,249 = 468,249/x
  3. Step 3: Cross multiply
    215,469x = 468,249 × 468,249
  4. Step 4: Simplify right side
    215,469x = 219,257,126,001
  5. Step 5: Solve for x
    x = 219,257,126,001/215,469
  6. Step 6: Final answer
    x = 1,017,580.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.