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Finding the Third Proportional to 227,595 and 505,734

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Solution

The third proportional to 227,595 and 505,734 is: 1,123,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,595 : 505,734 = 505,734 : x
  2. Step 2: Convert to fraction form
    227,595/505,734 = 505,734/x
  3. Step 3: Cross multiply
    227,595x = 505,734 × 505,734
  4. Step 4: Simplify right side
    227,595x = 255,766,878,756
  5. Step 5: Solve for x
    x = 255,766,878,756/227,595
  6. Step 6: Final answer
    x = 1,123,780.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.