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Finding the Third Proportional to 327,620 and 493,738

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Solution

The third proportional to 327,620 and 493,738 is: 744,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,620 : 493,738 = 493,738 : x
  2. Step 2: Convert to fraction form
    327,620/493,738 = 493,738/x
  3. Step 3: Cross multiply
    327,620x = 493,738 × 493,738
  4. Step 4: Simplify right side
    327,620x = 243,777,212,644
  5. Step 5: Solve for x
    x = 243,777,212,644/327,620
  6. Step 6: Final answer
    x = 744,085.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.