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Finding the Third Proportional to 326,514 and 494,698

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Solution

The third proportional to 326,514 and 494,698 is: 749,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514 : 494,698 = 494,698 : x
  2. Step 2: Convert to fraction form
    326,514/494,698 = 494,698/x
  3. Step 3: Cross multiply
    326,514x = 494,698 × 494,698
  4. Step 4: Simplify right side
    326,514x = 244,726,111,204
  5. Step 5: Solve for x
    x = 244,726,111,204/326,514
  6. Step 6: Final answer
    x = 749,511.85

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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.