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Finding the Third Proportional to 344,868 and 504,171

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Solution

The third proportional to 344,868 and 504,171 is: 737,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,868 : 504,171 = 504,171 : x
  2. Step 2: Convert to fraction form
    344,868/504,171 = 504,171/x
  3. Step 3: Cross multiply
    344,868x = 504,171 × 504,171
  4. Step 4: Simplify right side
    344,868x = 254,188,397,241
  5. Step 5: Solve for x
    x = 254,188,397,241/344,868
  6. Step 6: Final answer
    x = 737,059.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.