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Finding the Third Proportional to 272,879.51 and 593,462.95

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Solution

The third proportional to 272,879.51 and 593,462.95 is: 1,290,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,879.51 : 593,462.95 = 593,462.95 : x
  2. Step 2: Convert to fraction form
    272,879.51/593,462.95 = 593,462.95/x
  3. Step 3: Cross multiply
    272,879.51x = 593,462.95 × 593,462.95
  4. Step 4: Simplify right side
    272,879.51x = 352,198,276,731.85
  5. Step 5: Solve for x
    x = 352,198,276,731.85/272,879.51
  6. Step 6: Final answer
    x = 1,290,673.23

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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.