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Finding the Third Proportional to 337,466.25 and 474,621.75

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Solution

The third proportional to 337,466.25 and 474,621.75 is: 667,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,466.25 : 474,621.75 = 474,621.75 : x
  2. Step 2: Convert to fraction form
    337,466.25/474,621.75 = 474,621.75/x
  3. Step 3: Cross multiply
    337,466.25x = 474,621.75 × 474,621.75
  4. Step 4: Simplify right side
    337,466.25x = 225,265,805,573.06
  5. Step 5: Solve for x
    x = 225,265,805,573.06/337,466.25
  6. Step 6: Final answer
    x = 667,520.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.