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Finding the Third Proportional to 350,650 and 496,167

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Solution

The third proportional to 350,650 and 496,167 is: 702,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,650 : 496,167 = 496,167 : x
  2. Step 2: Convert to fraction form
    350,650/496,167 = 496,167/x
  3. Step 3: Cross multiply
    350,650x = 496,167 × 496,167
  4. Step 4: Simplify right side
    350,650x = 246,181,691,889
  5. Step 5: Solve for x
    x = 246,181,691,889/350,650
  6. Step 6: Final answer
    x = 702,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.