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Finding the Third Proportional to 227,037.94 and 481,747.50

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Solution

The third proportional to 227,037.94 and 481,747.50 is: 1,022,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,037.94 : 481,747.50 = 481,747.50 : x
  2. Step 2: Convert to fraction form
    227,037.94/481,747.50 = 481,747.50/x
  3. Step 3: Cross multiply
    227,037.94x = 481,747.50 × 481,747.50
  4. Step 4: Simplify right side
    227,037.94x = 232,080,653,756.25
  5. Step 5: Solve for x
    x = 232,080,653,756.25/227,037.94
  6. Step 6: Final answer
    x = 1,022,210.90

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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.