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Finding the Third Proportional to 228,974.50 and 496,085

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Solution

The third proportional to 228,974.50 and 496,085 is: 1,074,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,974.50 : 496,085 = 496,085 : x
  2. Step 2: Convert to fraction form
    228,974.50/496,085 = 496,085/x
  3. Step 3: Cross multiply
    228,974.50x = 496,085 × 496,085
  4. Step 4: Simplify right side
    228,974.50x = 246,100,327,225
  5. Step 5: Solve for x
    x = 246,100,327,225/228,974.50
  6. Step 6: Final answer
    x = 1,074,793.60

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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.