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Finding the Third Proportional to 203,434 and 441,050

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Solution

The third proportional to 203,434 and 441,050 is: 956,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434 : 441,050 = 441,050 : x
  2. Step 2: Convert to fraction form
    203,434/441,050 = 441,050/x
  3. Step 3: Cross multiply
    203,434x = 441,050 × 441,050
  4. Step 4: Simplify right side
    203,434x = 194,525,102,500
  5. Step 5: Solve for x
    x = 194,525,102,500/203,434
  6. Step 6: Final answer
    x = 956,207.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.