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Finding the Third Proportional to 467,851.50 and 984,593.25

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Solution

The third proportional to 467,851.50 and 984,593.25 is: 2,072,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,851.50 : 984,593.25 = 984,593.25 : x
  2. Step 2: Convert to fraction form
    467,851.50/984,593.25 = 984,593.25/x
  3. Step 3: Cross multiply
    467,851.50x = 984,593.25 × 984,593.25
  4. Step 4: Simplify right side
    467,851.50x = 969,423,867,945.56
  5. Step 5: Solve for x
    x = 969,423,867,945.56/467,851.50
  6. Step 6: Final answer
    x = 2,072,076.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.