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Finding the Third Proportional to 326,568.38 and 494,775

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Solution

The third proportional to 326,568.38 and 494,775 is: 749,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,568.38 : 494,775 = 494,775 : x
  2. Step 2: Convert to fraction form
    326,568.38/494,775 = 494,775/x
  3. Step 3: Cross multiply
    326,568.38x = 494,775 × 494,775
  4. Step 4: Simplify right side
    326,568.38x = 244,802,300,625
  5. Step 5: Solve for x
    x = 244,802,300,625/326,568.38
  6. Step 6: Final answer
    x = 749,620.35

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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.