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Finding the Third Proportional to 383,450 and 822,412

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Solution

The third proportional to 383,450 and 822,412 is: 1,763,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,450 : 822,412 = 822,412 : x
  2. Step 2: Convert to fraction form
    383,450/822,412 = 822,412/x
  3. Step 3: Cross multiply
    383,450x = 822,412 × 822,412
  4. Step 4: Simplify right side
    383,450x = 676,361,497,744
  5. Step 5: Solve for x
    x = 676,361,497,744/383,450
  6. Step 6: Final answer
    x = 1,763,884.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.