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Finding the Third Proportional to 230,874 and 504,516

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Solution

The third proportional to 230,874 and 504,516 is: 1,102,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874 : 504,516 = 504,516 : x
  2. Step 2: Convert to fraction form
    230,874/504,516 = 504,516/x
  3. Step 3: Cross multiply
    230,874x = 504,516 × 504,516
  4. Step 4: Simplify right side
    230,874x = 254,536,394,256
  5. Step 5: Solve for x
    x = 254,536,394,256/230,874
  6. Step 6: Final answer
    x = 1,102,490.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.