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Finding the Third Proportional to 326,912 and 703,864

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Solution

The third proportional to 326,912 and 703,864 is: 1,515,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,912 : 703,864 = 703,864 : x
  2. Step 2: Convert to fraction form
    326,912/703,864 = 703,864/x
  3. Step 3: Cross multiply
    326,912x = 703,864 × 703,864
  4. Step 4: Simplify right side
    326,912x = 495,424,530,496
  5. Step 5: Solve for x
    x = 495,424,530,496/326,912
  6. Step 6: Final answer
    x = 1,515,467.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.