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Finding the Third Proportional to 206,468 and 452,744

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Solution

The third proportional to 206,468 and 452,744 is: 992,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468 : 452,744 = 452,744 : x
  2. Step 2: Convert to fraction form
    206,468/452,744 = 452,744/x
  3. Step 3: Cross multiply
    206,468x = 452,744 × 452,744
  4. Step 4: Simplify right side
    206,468x = 204,977,129,536
  5. Step 5: Solve for x
    x = 204,977,129,536/206,468
  6. Step 6: Final answer
    x = 992,779.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.