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Finding the Third Proportional to 272,682 and 452,874

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Solution

The third proportional to 272,682 and 452,874 is: 752,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,682 : 452,874 = 452,874 : x
  2. Step 2: Convert to fraction form
    272,682/452,874 = 452,874/x
  3. Step 3: Cross multiply
    272,682x = 452,874 × 452,874
  4. Step 4: Simplify right side
    272,682x = 205,094,859,876
  5. Step 5: Solve for x
    x = 205,094,859,876/272,682
  6. Step 6: Final answer
    x = 752,139.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.