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Finding the Third Proportional to 461,350 and 998,493.50

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Solution

The third proportional to 461,350 and 998,493.50 is: 2,161,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,350 : 998,493.50 = 998,493.50 : x
  2. Step 2: Convert to fraction form
    461,350/998,493.50 = 998,493.50/x
  3. Step 3: Cross multiply
    461,350x = 998,493.50 × 998,493.50
  4. Step 4: Simplify right side
    461,350x = 996,989,269,542.25
  5. Step 5: Solve for x
    x = 996,989,269,542.25/461,350
  6. Step 6: Final answer
    x = 2,161,025.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.