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Finding the Third Proportional to 294,808 and 444,678

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Solution

The third proportional to 294,808 and 444,678 is: 670,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,808 : 444,678 = 444,678 : x
  2. Step 2: Convert to fraction form
    294,808/444,678 = 444,678/x
  3. Step 3: Cross multiply
    294,808x = 444,678 × 444,678
  4. Step 4: Simplify right side
    294,808x = 197,738,523,684
  5. Step 5: Solve for x
    x = 197,738,523,684/294,808
  6. Step 6: Final answer
    x = 670,736.63

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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.