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Finding the Third Proportional to 231,096.56 and 504,722.91

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Solution

The third proportional to 231,096.56 and 504,722.91 is: 1,102,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,096.56 : 504,722.91 = 504,722.91 : x
  2. Step 2: Convert to fraction form
    231,096.56/504,722.91 = 504,722.91/x
  3. Step 3: Cross multiply
    231,096.56x = 504,722.91 × 504,722.91
  4. Step 4: Simplify right side
    231,096.56x = 254,745,212,093.45
  5. Step 5: Solve for x
    x = 254,745,212,093.45/231,096.56
  6. Step 6: Final answer
    x = 1,102,332.33

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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.