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Finding the Third Proportional to 419.77 and 605.60

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Solution

The third proportional to 419.77 and 605.60 is: 873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 605.60 = 605.60 : x
  2. Step 2: Convert to fraction form
    419.77/605.60 = 605.60/x
  3. Step 3: Cross multiply
    419.77x = 605.60 × 605.60
  4. Step 4: Simplify right side
    419.77x = 366,753.25
  5. Step 5: Solve for x
    x = 366,753.25/419.77
  6. Step 6: Final answer
    x = 873.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.