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Finding the Third Proportional to 326,997 and 703,890

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Solution

The third proportional to 326,997 and 703,890 is: 1,515,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,997 : 703,890 = 703,890 : x
  2. Step 2: Convert to fraction form
    326,997/703,890 = 703,890/x
  3. Step 3: Cross multiply
    326,997x = 703,890 × 703,890
  4. Step 4: Simplify right side
    326,997x = 495,461,132,100
  5. Step 5: Solve for x
    x = 495,461,132,100/326,997
  6. Step 6: Final answer
    x = 1,515,185.56

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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.