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Finding the Third Proportional to 361,671.81 and 773,168.75

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Solution

The third proportional to 361,671.81 and 773,168.75 is: 1,652,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,671.81 : 773,168.75 = 773,168.75 : x
  2. Step 2: Convert to fraction form
    361,671.81/773,168.75 = 773,168.75/x
  3. Step 3: Cross multiply
    361,671.81x = 773,168.75 × 773,168.75
  4. Step 4: Simplify right side
    361,671.81x = 597,789,915,976.56
  5. Step 5: Solve for x
    x = 597,789,915,976.56/361,671.81
  6. Step 6: Final answer
    x = 1,652,851.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.