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Finding the Third Proportional to 326,576.25 and 494,791.88

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Solution

The third proportional to 326,576.25 and 494,791.88 is: 749,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,576.25 : 494,791.88 = 494,791.88 : x
  2. Step 2: Convert to fraction form
    326,576.25/494,791.88 = 494,791.88/x
  3. Step 3: Cross multiply
    326,576.25x = 494,791.88 × 494,791.88
  4. Step 4: Simplify right side
    326,576.25x = 244,818,999,566.02
  5. Step 5: Solve for x
    x = 244,818,999,566.02/326,576.25
  6. Step 6: Final answer
    x = 749,653.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.