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Finding the Third Proportional to 294,937 and 444,821

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Solution

The third proportional to 294,937 and 444,821 is: 670,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,937 : 444,821 = 444,821 : x
  2. Step 2: Convert to fraction form
    294,937/444,821 = 444,821/x
  3. Step 3: Cross multiply
    294,937x = 444,821 × 444,821
  4. Step 4: Simplify right side
    294,937x = 197,865,722,041
  5. Step 5: Solve for x
    x = 197,865,722,041/294,937
  6. Step 6: Final answer
    x = 670,874.53

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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.