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Finding the Third Proportional to 310,121.44 and 667,762.13

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Solution

The third proportional to 310,121.44 and 667,762.13 is: 1,437,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,121.44 : 667,762.13 = 667,762.13 : x
  2. Step 2: Convert to fraction form
    310,121.44/667,762.13 = 667,762.13/x
  3. Step 3: Cross multiply
    310,121.44x = 667,762.13 × 667,762.13
  4. Step 4: Simplify right side
    310,121.44x = 445,906,255,584.52
  5. Step 5: Solve for x
    x = 445,906,255,584.52/310,121.44
  6. Step 6: Final answer
    x = 1,437,844.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.