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Finding the Third Proportional to 231,172 and 504,680

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Solution

The third proportional to 231,172 and 504,680 is: 1,101,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,172 : 504,680 = 504,680 : x
  2. Step 2: Convert to fraction form
    231,172/504,680 = 504,680/x
  3. Step 3: Cross multiply
    231,172x = 504,680 × 504,680
  4. Step 4: Simplify right side
    231,172x = 254,701,902,400
  5. Step 5: Solve for x
    x = 254,701,902,400/231,172
  6. Step 6: Final answer
    x = 1,101,785.26

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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.