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Finding the Third Proportional to 294,512 and 444,223

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Solution

The third proportional to 294,512 and 444,223 is: 670,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,512 : 444,223 = 444,223 : x
  2. Step 2: Convert to fraction form
    294,512/444,223 = 444,223/x
  3. Step 3: Cross multiply
    294,512x = 444,223 × 444,223
  4. Step 4: Simplify right side
    294,512x = 197,334,073,729
  5. Step 5: Solve for x
    x = 197,334,073,729/294,512
  6. Step 6: Final answer
    x = 670,037.46

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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.