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Finding the Third Proportional to 214,569 and 471,177

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Solution

The third proportional to 214,569 and 471,177 is: 1,034,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,569 : 471,177 = 471,177 : x
  2. Step 2: Convert to fraction form
    214,569/471,177 = 471,177/x
  3. Step 3: Cross multiply
    214,569x = 471,177 × 471,177
  4. Step 4: Simplify right side
    214,569x = 222,007,765,329
  5. Step 5: Solve for x
    x = 222,007,765,329/214,569
  6. Step 6: Final answer
    x = 1,034,668.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.