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Finding the Third Proportional to 231,174 and 504,684

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Solution

The third proportional to 231,174 and 504,684 is: 1,101,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,174 : 504,684 = 504,684 : x
  2. Step 2: Convert to fraction form
    231,174/504,684 = 504,684/x
  3. Step 3: Cross multiply
    231,174x = 504,684 × 504,684
  4. Step 4: Simplify right side
    231,174x = 254,705,939,856
  5. Step 5: Solve for x
    x = 254,705,939,856/231,174
  6. Step 6: Final answer
    x = 1,101,793.19

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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.