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Finding the Third Proportional to 217,341 and 466,818

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Solution

The third proportional to 217,341 and 466,818 is: 1,002,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,341 : 466,818 = 466,818 : x
  2. Step 2: Convert to fraction form
    217,341/466,818 = 466,818/x
  3. Step 3: Cross multiply
    217,341x = 466,818 × 466,818
  4. Step 4: Simplify right side
    217,341x = 217,919,045,124
  5. Step 5: Solve for x
    x = 217,919,045,124/217,341
  6. Step 6: Final answer
    x = 1,002,659.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.