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Finding the Third Proportional to 383,978 and 792,490

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Solution

The third proportional to 383,978 and 792,490 is: 1,635,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,978 : 792,490 = 792,490 : x
  2. Step 2: Convert to fraction form
    383,978/792,490 = 792,490/x
  3. Step 3: Cross multiply
    383,978x = 792,490 × 792,490
  4. Step 4: Simplify right side
    383,978x = 628,040,400,100
  5. Step 5: Solve for x
    x = 628,040,400,100/383,978
  6. Step 6: Final answer
    x = 1,635,615.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.