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Finding the Third Proportional to 294,505.88 and 444,213.56

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Solution

The third proportional to 294,505.88 and 444,213.56 is: 670,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,505.88 : 444,213.56 = 444,213.56 : x
  2. Step 2: Convert to fraction form
    294,505.88/444,213.56 = 444,213.56/x
  3. Step 3: Cross multiply
    294,505.88x = 444,213.56 × 444,213.56
  4. Step 4: Simplify right side
    294,505.88x = 197,325,689,108.94
  5. Step 5: Solve for x
    x = 197,325,689,108.94/294,505.88
  6. Step 6: Final answer
    x = 670,022.93

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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.