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Finding the Third Proportional to 350,652 and 496,170

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Solution

The third proportional to 350,652 and 496,170 is: 702,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,652 : 496,170 = 496,170 : x
  2. Step 2: Convert to fraction form
    350,652/496,170 = 496,170/x
  3. Step 3: Cross multiply
    350,652x = 496,170 × 496,170
  4. Step 4: Simplify right side
    350,652x = 246,184,668,900
  5. Step 5: Solve for x
    x = 246,184,668,900/350,652
  6. Step 6: Final answer
    x = 702,076.90

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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.