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Finding the Third Proportional to 231,698 and 504,868

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Solution

The third proportional to 231,698 and 504,868 is: 1,100,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698 : 504,868 = 504,868 : x
  2. Step 2: Convert to fraction form
    231,698/504,868 = 504,868/x
  3. Step 3: Cross multiply
    231,698x = 504,868 × 504,868
  4. Step 4: Simplify right side
    231,698x = 254,891,697,424
  5. Step 5: Solve for x
    x = 254,891,697,424/231,698
  6. Step 6: Final answer
    x = 1,100,103.14

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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.