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Finding the Third Proportional to 214,331 and 466,756

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Solution

The third proportional to 214,331 and 466,756 is: 1,016,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,331 : 466,756 = 466,756 : x
  2. Step 2: Convert to fraction form
    214,331/466,756 = 466,756/x
  3. Step 3: Cross multiply
    214,331x = 466,756 × 466,756
  4. Step 4: Simplify right side
    214,331x = 217,861,163,536
  5. Step 5: Solve for x
    x = 217,861,163,536/214,331
  6. Step 6: Final answer
    x = 1,016,470.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.