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Finding the Third Proportional to 270,972 and 381,252

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Solution

The third proportional to 270,972 and 381,252 is: 536,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,972 : 381,252 = 381,252 : x
  2. Step 2: Convert to fraction form
    270,972/381,252 = 381,252/x
  3. Step 3: Cross multiply
    270,972x = 381,252 × 381,252
  4. Step 4: Simplify right side
    270,972x = 145,353,087,504
  5. Step 5: Solve for x
    x = 145,353,087,504/270,972
  6. Step 6: Final answer
    x = 536,413.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.