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Finding the Third Proportional to 260,853 and 414,625.50

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Solution

The third proportional to 260,853 and 414,625.50 is: 659,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853 : 414,625.50 = 414,625.50 : x
  2. Step 2: Convert to fraction form
    260,853/414,625.50 = 414,625.50/x
  3. Step 3: Cross multiply
    260,853x = 414,625.50 × 414,625.50
  4. Step 4: Simplify right side
    260,853x = 171,914,305,250.25
  5. Step 5: Solve for x
    x = 171,914,305,250.25/260,853
  6. Step 6: Final answer
    x = 659,046.69

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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.