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Finding the Third Proportional to 227,994.75 and 440,680.50

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Solution

The third proportional to 227,994.75 and 440,680.50 is: 851,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,994.75 : 440,680.50 = 440,680.50 : x
  2. Step 2: Convert to fraction form
    227,994.75/440,680.50 = 440,680.50/x
  3. Step 3: Cross multiply
    227,994.75x = 440,680.50 × 440,680.50
  4. Step 4: Simplify right side
    227,994.75x = 194,199,303,080.25
  5. Step 5: Solve for x
    x = 194,199,303,080.25/227,994.75
  6. Step 6: Final answer
    x = 851,770.94

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.