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Finding the Third Proportional to 273,272 and 593,824

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Solution

The third proportional to 273,272 and 593,824 is: 1,290,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,272 : 593,824 = 593,824 : x
  2. Step 2: Convert to fraction form
    273,272/593,824 = 593,824/x
  3. Step 3: Cross multiply
    273,272x = 593,824 × 593,824
  4. Step 4: Simplify right side
    273,272x = 352,626,942,976
  5. Step 5: Solve for x
    x = 352,626,942,976/273,272
  6. Step 6: Final answer
    x = 1,290,388.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.