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Finding the Third Proportional to 229,399.50 and 505,454.75

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Solution

The third proportional to 229,399.50 and 505,454.75 is: 1,113,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,399.50 : 505,454.75 = 505,454.75 : x
  2. Step 2: Convert to fraction form
    229,399.50/505,454.75 = 505,454.75/x
  3. Step 3: Cross multiply
    229,399.50x = 505,454.75 × 505,454.75
  4. Step 4: Simplify right side
    229,399.50x = 255,484,504,297.56
  5. Step 5: Solve for x
    x = 255,484,504,297.56/229,399.50
  6. Step 6: Final answer
    x = 1,113,709.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.