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Finding the Third Proportional to 383,976 and 792,486

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Solution

The third proportional to 383,976 and 792,486 is: 1,635,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,976 : 792,486 = 792,486 : x
  2. Step 2: Convert to fraction form
    383,976/792,486 = 792,486/x
  3. Step 3: Cross multiply
    383,976x = 792,486 × 792,486
  4. Step 4: Simplify right side
    383,976x = 628,034,060,196
  5. Step 5: Solve for x
    x = 628,034,060,196/383,976
  6. Step 6: Final answer
    x = 1,635,607.59

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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.