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Finding the Third Proportional to 274,488 and 593,904

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Solution

The third proportional to 274,488 and 593,904 is: 1,285,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,488 : 593,904 = 593,904 : x
  2. Step 2: Convert to fraction form
    274,488/593,904 = 593,904/x
  3. Step 3: Cross multiply
    274,488x = 593,904 × 593,904
  4. Step 4: Simplify right side
    274,488x = 352,721,961,216
  5. Step 5: Solve for x
    x = 352,721,961,216/274,488
  6. Step 6: Final answer
    x = 1,285,017.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.