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Finding the Third Proportional to 339,424 and 670,280

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Solution

The third proportional to 339,424 and 670,280 is: 1,323,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,424 : 670,280 = 670,280 : x
  2. Step 2: Convert to fraction form
    339,424/670,280 = 670,280/x
  3. Step 3: Cross multiply
    339,424x = 670,280 × 670,280
  4. Step 4: Simplify right side
    339,424x = 449,275,278,400
  5. Step 5: Solve for x
    x = 449,275,278,400/339,424
  6. Step 6: Final answer
    x = 1,323,640.28

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.