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Finding the Third Proportional to 213,252 and 452,744

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Solution

The third proportional to 213,252 and 452,744 is: 961,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,252 : 452,744 = 452,744 : x
  2. Step 2: Convert to fraction form
    213,252/452,744 = 452,744/x
  3. Step 3: Cross multiply
    213,252x = 452,744 × 452,744
  4. Step 4: Simplify right side
    213,252x = 204,977,129,536
  5. Step 5: Solve for x
    x = 204,977,129,536/213,252
  6. Step 6: Final answer
    x = 961,196.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.