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Finding the Third Proportional to 272,200 and 576,796

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Solution

The third proportional to 272,200 and 576,796 is: 1,222,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200 : 576,796 = 576,796 : x
  2. Step 2: Convert to fraction form
    272,200/576,796 = 576,796/x
  3. Step 3: Cross multiply
    272,200x = 576,796 × 576,796
  4. Step 4: Simplify right side
    272,200x = 332,693,625,616
  5. Step 5: Solve for x
    x = 332,693,625,616/272,200
  6. Step 6: Final answer
    x = 1,222,239.62

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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.