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Finding the Third Proportional to 267,938 and 414,696

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Solution

The third proportional to 267,938 and 414,696 is: 641,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,938 : 414,696 = 414,696 : x
  2. Step 2: Convert to fraction form
    267,938/414,696 = 414,696/x
  3. Step 3: Cross multiply
    267,938x = 414,696 × 414,696
  4. Step 4: Simplify right side
    267,938x = 171,972,772,416
  5. Step 5: Solve for x
    x = 171,972,772,416/267,938
  6. Step 6: Final answer
    x = 641,837.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.