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Finding the Third Proportional to 382,958 and 536,647

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Solution

The third proportional to 382,958 and 536,647 is: 752,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,958 : 536,647 = 536,647 : x
  2. Step 2: Convert to fraction form
    382,958/536,647 = 536,647/x
  3. Step 3: Cross multiply
    382,958x = 536,647 × 536,647
  4. Step 4: Simplify right side
    382,958x = 287,990,002,609
  5. Step 5: Solve for x
    x = 287,990,002,609/382,958
  6. Step 6: Final answer
    x = 752,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.