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Finding the Third Proportional to 361,353.75 and 751,380.75

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Solution

The third proportional to 361,353.75 and 751,380.75 is: 1,562,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,353.75 : 751,380.75 = 751,380.75 : x
  2. Step 2: Convert to fraction form
    361,353.75/751,380.75 = 751,380.75/x
  3. Step 3: Cross multiply
    361,353.75x = 751,380.75 × 751,380.75
  4. Step 4: Simplify right side
    361,353.75x = 564,573,031,470.56
  5. Step 5: Solve for x
    x = 564,573,031,470.56/361,353.75
  6. Step 6: Final answer
    x = 1,562,383.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.