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Finding the Third Proportional to 227,054 and 481,782

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Solution

The third proportional to 227,054 and 481,782 is: 1,022,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,054 : 481,782 = 481,782 : x
  2. Step 2: Convert to fraction form
    227,054/481,782 = 481,782/x
  3. Step 3: Cross multiply
    227,054x = 481,782 × 481,782
  4. Step 4: Simplify right side
    227,054x = 232,113,895,524
  5. Step 5: Solve for x
    x = 232,113,895,524/227,054
  6. Step 6: Final answer
    x = 1,022,284.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.