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Finding the Third Proportional to 440,835.75 and 659,544.75

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Solution

The third proportional to 440,835.75 and 659,544.75 is: 986,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,835.75 : 659,544.75 = 659,544.75 : x
  2. Step 2: Convert to fraction form
    440,835.75/659,544.75 = 659,544.75/x
  3. Step 3: Cross multiply
    440,835.75x = 659,544.75 × 659,544.75
  4. Step 4: Simplify right side
    440,835.75x = 434,999,277,252.56
  5. Step 5: Solve for x
    x = 434,999,277,252.56/440,835.75
  6. Step 6: Final answer
    x = 986,760.44

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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.