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Finding the Third Proportional to 664,485.75 and 996,512.06

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Solution

The third proportional to 664,485.75 and 996,512.06 is: 1,494,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,485.75 : 996,512.06 = 996,512.06 : x
  2. Step 2: Convert to fraction form
    664,485.75/996,512.06 = 996,512.06/x
  3. Step 3: Cross multiply
    664,485.75x = 996,512.06 × 996,512.06
  4. Step 4: Simplify right side
    664,485.75x = 993,036,290,708.00
  5. Step 5: Solve for x
    x = 993,036,290,708.00/664,485.75
  6. Step 6: Final answer
    x = 1,494,443.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.