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Finding the Third Proportional to 294,886 and 444,766

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Solution

The third proportional to 294,886 and 444,766 is: 670,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,886 : 444,766 = 444,766 : x
  2. Step 2: Convert to fraction form
    294,886/444,766 = 444,766/x
  3. Step 3: Cross multiply
    294,886x = 444,766 × 444,766
  4. Step 4: Simplify right side
    294,886x = 197,816,794,756
  5. Step 5: Solve for x
    x = 197,816,794,756/294,886
  6. Step 6: Final answer
    x = 670,824.64

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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.