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Finding the Third Proportional to 396,817.50 and 881,916

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Solution

The third proportional to 396,817.50 and 881,916 is: 1,960,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,817.50 : 881,916 = 881,916 : x
  2. Step 2: Convert to fraction form
    396,817.50/881,916 = 881,916/x
  3. Step 3: Cross multiply
    396,817.50x = 881,916 × 881,916
  4. Step 4: Simplify right side
    396,817.50x = 777,775,831,056
  5. Step 5: Solve for x
    x = 777,775,831,056/396,817.50
  6. Step 6: Final answer
    x = 1,960,034.10

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.