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Finding the Third Proportional to 280,917 and 397,489.50

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Solution

The third proportional to 280,917 and 397,489.50 is: 562,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,917 : 397,489.50 = 397,489.50 : x
  2. Step 2: Convert to fraction form
    280,917/397,489.50 = 397,489.50/x
  3. Step 3: Cross multiply
    280,917x = 397,489.50 × 397,489.50
  4. Step 4: Simplify right side
    280,917x = 157,997,902,610.25
  5. Step 5: Solve for x
    x = 157,997,902,610.25/280,917
  6. Step 6: Final answer
    x = 562,436.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.