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Finding the Third Proportional to 318,874 and 699,950

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Solution

The third proportional to 318,874 and 699,950 is: 1,536,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,874 : 699,950 = 699,950 : x
  2. Step 2: Convert to fraction form
    318,874/699,950 = 699,950/x
  3. Step 3: Cross multiply
    318,874x = 699,950 × 699,950
  4. Step 4: Simplify right side
    318,874x = 489,930,002,500
  5. Step 5: Solve for x
    x = 489,930,002,500/318,874
  6. Step 6: Final answer
    x = 1,536,437.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.