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Finding the Third Proportional to 422,671.50 and 996,747.75

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Solution

The third proportional to 422,671.50 and 996,747.75 is: 2,350,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,671.50 : 996,747.75 = 996,747.75 : x
  2. Step 2: Convert to fraction form
    422,671.50/996,747.75 = 996,747.75/x
  3. Step 3: Cross multiply
    422,671.50x = 996,747.75 × 996,747.75
  4. Step 4: Simplify right side
    422,671.50x = 993,506,077,130.06
  5. Step 5: Solve for x
    x = 993,506,077,130.06/422,671.50
  6. Step 6: Final answer
    x = 2,350,539.55

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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.