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Finding the Third Proportional to 217,124 and 471,384

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Solution

The third proportional to 217,124 and 471,384 is: 1,023,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,124 : 471,384 = 471,384 : x
  2. Step 2: Convert to fraction form
    217,124/471,384 = 471,384/x
  3. Step 3: Cross multiply
    217,124x = 471,384 × 471,384
  4. Step 4: Simplify right side
    217,124x = 222,202,875,456
  5. Step 5: Solve for x
    x = 222,202,875,456/217,124
  6. Step 6: Final answer
    x = 1,023,391.59

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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.