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Finding the Third Proportional to 338,029 and 505,990

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Solution

The third proportional to 338,029 and 505,990 is: 757,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,029 : 505,990 = 505,990 : x
  2. Step 2: Convert to fraction form
    338,029/505,990 = 505,990/x
  3. Step 3: Cross multiply
    338,029x = 505,990 × 505,990
  4. Step 4: Simplify right side
    338,029x = 256,025,880,100
  5. Step 5: Solve for x
    x = 256,025,880,100/338,029
  6. Step 6: Final answer
    x = 757,408.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.