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Finding the Third Proportional to 272,917 and 413,616

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Solution

The third proportional to 272,917 and 413,616 is: 626,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,917 : 413,616 = 413,616 : x
  2. Step 2: Convert to fraction form
    272,917/413,616 = 413,616/x
  3. Step 3: Cross multiply
    272,917x = 413,616 × 413,616
  4. Step 4: Simplify right side
    272,917x = 171,078,195,456
  5. Step 5: Solve for x
    x = 171,078,195,456/272,917
  6. Step 6: Final answer
    x = 626,850.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.