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Finding the Third Proportional to 203,603.63 and 412,674.75

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Solution

The third proportional to 203,603.63 and 412,674.75 is: 836,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,603.63 : 412,674.75 = 412,674.75 : x
  2. Step 2: Convert to fraction form
    203,603.63/412,674.75 = 412,674.75/x
  3. Step 3: Cross multiply
    203,603.63x = 412,674.75 × 412,674.75
  4. Step 4: Simplify right side
    203,603.63x = 170,300,449,287.56
  5. Step 5: Solve for x
    x = 170,300,449,287.56/203,603.63
  6. Step 6: Final answer
    x = 836,431.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.