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Finding the Third Proportional to 284,676 and 613,336

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Solution

The third proportional to 284,676 and 613,336 is: 1,321,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,676 : 613,336 = 613,336 : x
  2. Step 2: Convert to fraction form
    284,676/613,336 = 613,336/x
  3. Step 3: Cross multiply
    284,676x = 613,336 × 613,336
  4. Step 4: Simplify right side
    284,676x = 376,181,048,896
  5. Step 5: Solve for x
    x = 376,181,048,896/284,676
  6. Step 6: Final answer
    x = 1,321,435.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.