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Finding the Third Proportional to 416,183.50 and 623,135.50

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Solution

The third proportional to 416,183.50 and 623,135.50 is: 932,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,183.50 : 623,135.50 = 623,135.50 : x
  2. Step 2: Convert to fraction form
    416,183.50/623,135.50 = 623,135.50/x
  3. Step 3: Cross multiply
    416,183.50x = 623,135.50 × 623,135.50
  4. Step 4: Simplify right side
    416,183.50x = 388,297,851,360.25
  5. Step 5: Solve for x
    x = 388,297,851,360.25/416,183.50
  6. Step 6: Final answer
    x = 932,996.75

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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.