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Finding the Third Proportional to 268,084 and 414,722

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Solution

The third proportional to 268,084 and 414,722 is: 641,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,084 : 414,722 = 414,722 : x
  2. Step 2: Convert to fraction form
    268,084/414,722 = 414,722/x
  3. Step 3: Cross multiply
    268,084x = 414,722 × 414,722
  4. Step 4: Simplify right side
    268,084x = 171,994,337,284
  5. Step 5: Solve for x
    x = 171,994,337,284/268,084
  6. Step 6: Final answer
    x = 641,568.83

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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.