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Finding the Third Proportional to 230,400 and 505,086

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Solution

The third proportional to 230,400 and 505,086 is: 1,107,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400 : 505,086 = 505,086 : x
  2. Step 2: Convert to fraction form
    230,400/505,086 = 505,086/x
  3. Step 3: Cross multiply
    230,400x = 505,086 × 505,086
  4. Step 4: Simplify right side
    230,400x = 255,111,867,396
  5. Step 5: Solve for x
    x = 255,111,867,396/230,400
  6. Step 6: Final answer
    x = 1,107,256.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.