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Finding the Third Proportional to 389,614 and 699,686

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Solution

The third proportional to 389,614 and 699,686 is: 1,256,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614 : 699,686 = 699,686 : x
  2. Step 2: Convert to fraction form
    389,614/699,686 = 699,686/x
  3. Step 3: Cross multiply
    389,614x = 699,686 × 699,686
  4. Step 4: Simplify right side
    389,614x = 489,560,498,596
  5. Step 5: Solve for x
    x = 489,560,498,596/389,614
  6. Step 6: Final answer
    x = 1,256,526.97

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.