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Finding the Third Proportional to 260,858.50 and 414,956

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Solution

The third proportional to 260,858.50 and 414,956 is: 660,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,858.50 : 414,956 = 414,956 : x
  2. Step 2: Convert to fraction form
    260,858.50/414,956 = 414,956/x
  3. Step 3: Cross multiply
    260,858.50x = 414,956 × 414,956
  4. Step 4: Simplify right side
    260,858.50x = 172,188,481,936
  5. Step 5: Solve for x
    x = 172,188,481,936/260,858.50
  6. Step 6: Final answer
    x = 660,083.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.