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Finding the Third Proportional to 226,872.56 and 493,750.69

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Solution

The third proportional to 226,872.56 and 493,750.69 is: 1,074,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,872.56 : 493,750.69 = 493,750.69 : x
  2. Step 2: Convert to fraction form
    226,872.56/493,750.69 = 493,750.69/x
  3. Step 3: Cross multiply
    226,872.56x = 493,750.69 × 493,750.69
  4. Step 4: Simplify right side
    226,872.56x = 243,789,741,406.72
  5. Step 5: Solve for x
    x = 243,789,741,406.72/226,872.56
  6. Step 6: Final answer
    x = 1,074,566.88

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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.