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Finding the Third Proportional to 383,883 and 792,354

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Solution

The third proportional to 383,883 and 792,354 is: 1,635,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,883 : 792,354 = 792,354 : x
  2. Step 2: Convert to fraction form
    383,883/792,354 = 792,354/x
  3. Step 3: Cross multiply
    383,883x = 792,354 × 792,354
  4. Step 4: Simplify right side
    383,883x = 627,824,861,316
  5. Step 5: Solve for x
    x = 627,824,861,316/383,883
  6. Step 6: Final answer
    x = 1,635,458.88

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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.