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Finding the Third Proportional to 419,601 and 632,885

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Solution

The third proportional to 419,601 and 632,885 is: 954,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,601 : 632,885 = 632,885 : x
  2. Step 2: Convert to fraction form
    419,601/632,885 = 632,885/x
  3. Step 3: Cross multiply
    419,601x = 632,885 × 632,885
  4. Step 4: Simplify right side
    419,601x = 400,543,423,225
  5. Step 5: Solve for x
    x = 400,543,423,225/419,601
  6. Step 6: Final answer
    x = 954,581.67

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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.