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Finding the Third Proportional to 267,104 and 621,104

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Solution

The third proportional to 267,104 and 621,104 is: 1,444,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,104 : 621,104 = 621,104 : x
  2. Step 2: Convert to fraction form
    267,104/621,104 = 621,104/x
  3. Step 3: Cross multiply
    267,104x = 621,104 × 621,104
  4. Step 4: Simplify right side
    267,104x = 385,770,178,816
  5. Step 5: Solve for x
    x = 385,770,178,816/267,104
  6. Step 6: Final answer
    x = 1,444,269.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.