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Finding the Third Proportional to 326,524 and 494,714

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Solution

The third proportional to 326,524 and 494,714 is: 749,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,524 : 494,714 = 494,714 : x
  2. Step 2: Convert to fraction form
    326,524/494,714 = 494,714/x
  3. Step 3: Cross multiply
    326,524x = 494,714 × 494,714
  4. Step 4: Simplify right side
    326,524x = 244,741,941,796
  5. Step 5: Solve for x
    x = 244,741,941,796/326,524
  6. Step 6: Final answer
    x = 749,537.37

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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.