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Finding the Third Proportional to 230,959.50 and 496,296

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Solution

The third proportional to 230,959.50 and 496,296 is: 1,066,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,959.50 : 496,296 = 496,296 : x
  2. Step 2: Convert to fraction form
    230,959.50/496,296 = 496,296/x
  3. Step 3: Cross multiply
    230,959.50x = 496,296 × 496,296
  4. Step 4: Simplify right side
    230,959.50x = 246,309,719,616
  5. Step 5: Solve for x
    x = 246,309,719,616/230,959.50
  6. Step 6: Final answer
    x = 1,066,462.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.