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Finding the Third Proportional to 294,880 and 628,370

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Solution

The third proportional to 294,880 and 628,370 is: 1,339,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,880 : 628,370 = 628,370 : x
  2. Step 2: Convert to fraction form
    294,880/628,370 = 628,370/x
  3. Step 3: Cross multiply
    294,880x = 628,370 × 628,370
  4. Step 4: Simplify right side
    294,880x = 394,848,856,900
  5. Step 5: Solve for x
    x = 394,848,856,900/294,880
  6. Step 6: Final answer
    x = 1,339,015.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.