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Finding the Third Proportional to 227,950 and 496,037

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Solution

The third proportional to 227,950 and 496,037 is: 1,079,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,950 : 496,037 = 496,037 : x
  2. Step 2: Convert to fraction form
    227,950/496,037 = 496,037/x
  3. Step 3: Cross multiply
    227,950x = 496,037 × 496,037
  4. Step 4: Simplify right side
    227,950x = 246,052,705,369
  5. Step 5: Solve for x
    x = 246,052,705,369/227,950
  6. Step 6: Final answer
    x = 1,079,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.