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Finding the Third Proportional to 272,992.78 and 593,142.75

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Solution

The third proportional to 272,992.78 and 593,142.75 is: 1,288,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,992.78 : 593,142.75 = 593,142.75 : x
  2. Step 2: Convert to fraction form
    272,992.78/593,142.75 = 593,142.75/x
  3. Step 3: Cross multiply
    272,992.78x = 593,142.75 × 593,142.75
  4. Step 4: Simplify right side
    272,992.78x = 351,818,321,877.56
  5. Step 5: Solve for x
    x = 351,818,321,877.56/272,992.78
  6. Step 6: Final answer
    x = 1,288,745.88

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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.