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Finding the Third Proportional to 236,350 and 505,923

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Solution

The third proportional to 236,350 and 505,923 is: 1,082,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,350 : 505,923 = 505,923 : x
  2. Step 2: Convert to fraction form
    236,350/505,923 = 505,923/x
  3. Step 3: Cross multiply
    236,350x = 505,923 × 505,923
  4. Step 4: Simplify right side
    236,350x = 255,958,081,929
  5. Step 5: Solve for x
    x = 255,958,081,929/236,350
  6. Step 6: Final answer
    x = 1,082,962.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.