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Finding the Third Proportional to 664,728.75 and 968,028.75

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Solution

The third proportional to 664,728.75 and 968,028.75 is: 1,409,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,728.75 : 968,028.75 = 968,028.75 : x
  2. Step 2: Convert to fraction form
    664,728.75/968,028.75 = 968,028.75/x
  3. Step 3: Cross multiply
    664,728.75x = 968,028.75 × 968,028.75
  4. Step 4: Simplify right side
    664,728.75x = 937,079,660,826.56
  5. Step 5: Solve for x
    x = 937,079,660,826.56/664,728.75
  6. Step 6: Final answer
    x = 1,409,717.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.