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Finding the Third Proportional to 694,293.75 and 921,249

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Solution

The third proportional to 694,293.75 and 921,249 is: 1,222,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,293.75 : 921,249 = 921,249 : x
  2. Step 2: Convert to fraction form
    694,293.75/921,249 = 921,249/x
  3. Step 3: Cross multiply
    694,293.75x = 921,249 × 921,249
  4. Step 4: Simplify right side
    694,293.75x = 848,699,720,001
  5. Step 5: Solve for x
    x = 848,699,720,001/694,293.75
  6. Step 6: Final answer
    x = 1,222,392.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.