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Finding the Third Proportional to 227,939.50 and 496,014.50

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Solution

The third proportional to 227,939.50 and 496,014.50 is: 1,079,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,939.50 : 496,014.50 = 496,014.50 : x
  2. Step 2: Convert to fraction form
    227,939.50/496,014.50 = 496,014.50/x
  3. Step 3: Cross multiply
    227,939.50x = 496,014.50 × 496,014.50
  4. Step 4: Simplify right side
    227,939.50x = 246,030,384,210.25
  5. Step 5: Solve for x
    x = 246,030,384,210.25/227,939.50
  6. Step 6: Final answer
    x = 1,079,367.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.