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Finding the Third Proportional to 419,921 and 632,912

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Solution

The third proportional to 419,921 and 632,912 is: 953,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,921 : 632,912 = 632,912 : x
  2. Step 2: Convert to fraction form
    419,921/632,912 = 632,912/x
  3. Step 3: Cross multiply
    419,921x = 632,912 × 632,912
  4. Step 4: Simplify right side
    419,921x = 400,577,599,744
  5. Step 5: Solve for x
    x = 400,577,599,744/419,921
  6. Step 6: Final answer
    x = 953,935.62

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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.