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Finding the Third Proportional to 383,774 and 536,811

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Solution

The third proportional to 383,774 and 536,811 is: 750,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,774 : 536,811 = 536,811 : x
  2. Step 2: Convert to fraction form
    383,774/536,811 = 536,811/x
  3. Step 3: Cross multiply
    383,774x = 536,811 × 536,811
  4. Step 4: Simplify right side
    383,774x = 288,166,049,721
  5. Step 5: Solve for x
    x = 288,166,049,721/383,774
  6. Step 6: Final answer
    x = 750,874.34

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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.