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Finding the Third Proportional to 236,350.50 and 505,923.75

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Solution

The third proportional to 236,350.50 and 505,923.75 is: 1,082,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,350.50 : 505,923.75 = 505,923.75 : x
  2. Step 2: Convert to fraction form
    236,350.50/505,923.75 = 505,923.75/x
  3. Step 3: Cross multiply
    236,350.50x = 505,923.75 × 505,923.75
  4. Step 4: Simplify right side
    236,350.50x = 255,958,840,814.06
  5. Step 5: Solve for x
    x = 255,958,840,814.06/236,350.50
  6. Step 6: Final answer
    x = 1,082,962.98

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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.