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Finding the Third Proportional to 250,249.50 and 533,719.13

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Solution

The third proportional to 250,249.50 and 533,719.13 is: 1,138,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,249.50 : 533,719.13 = 533,719.13 : x
  2. Step 2: Convert to fraction form
    250,249.50/533,719.13 = 533,719.13/x
  3. Step 3: Cross multiply
    250,249.50x = 533,719.13 × 533,719.13
  4. Step 4: Simplify right side
    250,249.50x = 284,856,104,390.77
  5. Step 5: Solve for x
    x = 284,856,104,390.77/250,249.50
  6. Step 6: Final answer
    x = 1,138,288.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.