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Finding the Third Proportional to 361,467 and 541,106

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Solution

The third proportional to 361,467 and 541,106 is: 810,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,467 : 541,106 = 541,106 : x
  2. Step 2: Convert to fraction form
    361,467/541,106 = 541,106/x
  3. Step 3: Cross multiply
    361,467x = 541,106 × 541,106
  4. Step 4: Simplify right side
    361,467x = 292,795,703,236
  5. Step 5: Solve for x
    x = 292,795,703,236/361,467
  6. Step 6: Final answer
    x = 810,020.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.