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Finding the Third Proportional to 268,841 and 412,631

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Solution

The third proportional to 268,841 and 412,631 is: 633,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,841 : 412,631 = 412,631 : x
  2. Step 2: Convert to fraction form
    268,841/412,631 = 412,631/x
  3. Step 3: Cross multiply
    268,841x = 412,631 × 412,631
  4. Step 4: Simplify right side
    268,841x = 170,264,342,161
  5. Step 5: Solve for x
    x = 170,264,342,161/268,841
  6. Step 6: Final answer
    x = 633,327.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.