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Finding the Third Proportional to 211,021.50 and 498,141.75

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Solution

The third proportional to 211,021.50 and 498,141.75 is: 1,175,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,021.50 : 498,141.75 = 498,141.75 : x
  2. Step 2: Convert to fraction form
    211,021.50/498,141.75 = 498,141.75/x
  3. Step 3: Cross multiply
    211,021.50x = 498,141.75 × 498,141.75
  4. Step 4: Simplify right side
    211,021.50x = 248,145,203,093.06
  5. Step 5: Solve for x
    x = 248,145,203,093.06/211,021.50
  6. Step 6: Final answer
    x = 1,175,923.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.