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Finding the Third Proportional to 211,824 and 466,616

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Solution

The third proportional to 211,824 and 466,616 is: 1,027,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 466,616 = 466,616 : x
  2. Step 2: Convert to fraction form
    211,824/466,616 = 466,616/x
  3. Step 3: Cross multiply
    211,824x = 466,616 × 466,616
  4. Step 4: Simplify right side
    211,824x = 217,730,491,456
  5. Step 5: Solve for x
    x = 217,730,491,456/211,824
  6. Step 6: Final answer
    x = 1,027,883.96

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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.