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Finding the Third Proportional to 230,648 and 505,016

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Solution

The third proportional to 230,648 and 505,016 is: 1,105,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,648 : 505,016 = 505,016 : x
  2. Step 2: Convert to fraction form
    230,648/505,016 = 505,016/x
  3. Step 3: Cross multiply
    230,648x = 505,016 × 505,016
  4. Step 4: Simplify right side
    230,648x = 255,041,160,256
  5. Step 5: Solve for x
    x = 255,041,160,256/230,648
  6. Step 6: Final answer
    x = 1,105,759.25

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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.