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Finding the Third Proportional to 394,208 and 606,756

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Solution

The third proportional to 394,208 and 606,756 is: 933,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,208 : 606,756 = 606,756 : x
  2. Step 2: Convert to fraction form
    394,208/606,756 = 606,756/x
  3. Step 3: Cross multiply
    394,208x = 606,756 × 606,756
  4. Step 4: Simplify right side
    394,208x = 368,152,843,536
  5. Step 5: Solve for x
    x = 368,152,843,536/394,208
  6. Step 6: Final answer
    x = 933,905.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.