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Finding the Third Proportional to 422,905.50 and 997,983

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Solution

The third proportional to 422,905.50 and 997,983 is: 2,355,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,905.50 : 997,983 = 997,983 : x
  2. Step 2: Convert to fraction form
    422,905.50/997,983 = 997,983/x
  3. Step 3: Cross multiply
    422,905.50x = 997,983 × 997,983
  4. Step 4: Simplify right side
    422,905.50x = 995,970,068,289
  5. Step 5: Solve for x
    x = 995,970,068,289/422,905.50
  6. Step 6: Final answer
    x = 2,355,065.30

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.