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Finding the Third Proportional to 294,812 and 444,684

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Solution

The third proportional to 294,812 and 444,684 is: 670,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,812 : 444,684 = 444,684 : x
  2. Step 2: Convert to fraction form
    294,812/444,684 = 444,684/x
  3. Step 3: Cross multiply
    294,812x = 444,684 × 444,684
  4. Step 4: Simplify right side
    294,812x = 197,743,859,856
  5. Step 5: Solve for x
    x = 197,743,859,856/294,812
  6. Step 6: Final answer
    x = 670,745.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.