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Finding the Third Proportional to 231,223.50 and 504,464.63

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Solution

The third proportional to 231,223.50 and 504,464.63 is: 1,100,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223.50 : 504,464.63 = 504,464.63 : x
  2. Step 2: Convert to fraction form
    231,223.50/504,464.63 = 504,464.63/x
  3. Step 3: Cross multiply
    231,223.50x = 504,464.63 × 504,464.63
  4. Step 4: Simplify right side
    231,223.50x = 254,484,557,876.39
  5. Step 5: Solve for x
    x = 254,484,557,876.39/231,223.50
  6. Step 6: Final answer
    x = 1,100,599.89

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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.