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Finding the Third Proportional to 294,879 and 444,762

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Solution

The third proportional to 294,879 and 444,762 is: 670,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,879 : 444,762 = 444,762 : x
  2. Step 2: Convert to fraction form
    294,879/444,762 = 444,762/x
  3. Step 3: Cross multiply
    294,879x = 444,762 × 444,762
  4. Step 4: Simplify right side
    294,879x = 197,813,236,644
  5. Step 5: Solve for x
    x = 197,813,236,644/294,879
  6. Step 6: Final answer
    x = 670,828.50

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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.