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Finding the Third Proportional to 294,003 and 440,185.50

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Solution

The third proportional to 294,003 and 440,185.50 is: 659,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,003 : 440,185.50 = 440,185.50 : x
  2. Step 2: Convert to fraction form
    294,003/440,185.50 = 440,185.50/x
  3. Step 3: Cross multiply
    294,003x = 440,185.50 × 440,185.50
  4. Step 4: Simplify right side
    294,003x = 193,763,274,410.25
  5. Step 5: Solve for x
    x = 193,763,274,410.25/294,003
  6. Step 6: Final answer
    x = 659,052.03

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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.