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Finding the Third Proportional to 561,268.50 and 1,231,185

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Solution

The third proportional to 561,268.50 and 1,231,185 is: 2,700,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,268.50 : 1,231,185 = 1,231,185 : x
  2. Step 2: Convert to fraction form
    561,268.50/1,231,185 = 1,231,185/x
  3. Step 3: Cross multiply
    561,268.50x = 1,231,185 × 1,231,185
  4. Step 4: Simplify right side
    561,268.50x = 1,515,816,504,225
  5. Step 5: Solve for x
    x = 1,515,816,504,225/561,268.50
  6. Step 6: Final answer
    x = 2,700,697.62

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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.