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Finding the Third Proportional to 260,844 and 414,612

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Solution

The third proportional to 260,844 and 414,612 is: 659,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,844 : 414,612 = 414,612 : x
  2. Step 2: Convert to fraction form
    260,844/414,612 = 414,612/x
  3. Step 3: Cross multiply
    260,844x = 414,612 × 414,612
  4. Step 4: Simplify right side
    260,844x = 171,903,110,544
  5. Step 5: Solve for x
    x = 171,903,110,544/260,844
  6. Step 6: Final answer
    x = 659,026.51

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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.