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Finding the Third Proportional to 294,833.25 and 441,789.19

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Solution

The third proportional to 294,833.25 and 441,789.19 is: 661,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,833.25 : 441,789.19 = 441,789.19 : x
  2. Step 2: Convert to fraction form
    294,833.25/441,789.19 = 441,789.19/x
  3. Step 3: Cross multiply
    294,833.25x = 441,789.19 × 441,789.19
  4. Step 4: Simplify right side
    294,833.25x = 195,177,686,191.91
  5. Step 5: Solve for x
    x = 195,177,686,191.91/294,833.25
  6. Step 6: Final answer
    x = 661,993.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.