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Finding the Third Proportional to 419,600 and 632,884

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Solution

The third proportional to 419,600 and 632,884 is: 954,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,600 : 632,884 = 632,884 : x
  2. Step 2: Convert to fraction form
    419,600/632,884 = 632,884/x
  3. Step 3: Cross multiply
    419,600x = 632,884 × 632,884
  4. Step 4: Simplify right side
    419,600x = 400,542,157,456
  5. Step 5: Solve for x
    x = 400,542,157,456/419,600
  6. Step 6: Final answer
    x = 954,580.93

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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.