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Finding the Third Proportional to 231,229.27 and 504,368.44

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Solution

The third proportional to 231,229.27 and 504,368.44 is: 1,100,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,229.27 : 504,368.44 = 504,368.44 : x
  2. Step 2: Convert to fraction form
    231,229.27/504,368.44 = 504,368.44/x
  3. Step 3: Cross multiply
    231,229.27x = 504,368.44 × 504,368.44
  4. Step 4: Simplify right side
    231,229.27x = 254,387,520,746.19
  5. Step 5: Solve for x
    x = 254,387,520,746.19/231,229.27
  6. Step 6: Final answer
    x = 1,100,152.79

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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.