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Finding the Third Proportional to 321,284 and 678,736

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Solution

The third proportional to 321,284 and 678,736 is: 1,433,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,284 : 678,736 = 678,736 : x
  2. Step 2: Convert to fraction form
    321,284/678,736 = 678,736/x
  3. Step 3: Cross multiply
    321,284x = 678,736 × 678,736
  4. Step 4: Simplify right side
    321,284x = 460,682,557,696
  5. Step 5: Solve for x
    x = 460,682,557,696/321,284
  6. Step 6: Final answer
    x = 1,433,879.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.