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Finding the Third Proportional to 274,162 and 411,234

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Solution

The third proportional to 274,162 and 411,234 is: 616,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,162 : 411,234 = 411,234 : x
  2. Step 2: Convert to fraction form
    274,162/411,234 = 411,234/x
  3. Step 3: Cross multiply
    274,162x = 411,234 × 411,234
  4. Step 4: Simplify right side
    274,162x = 169,113,402,756
  5. Step 5: Solve for x
    x = 169,113,402,756/274,162
  6. Step 6: Final answer
    x = 616,837.50

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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.