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Finding the Third Proportional to 326,002 and 498,689

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Solution

The third proportional to 326,002 and 498,689 is: 762,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,002 : 498,689 = 498,689 : x
  2. Step 2: Convert to fraction form
    326,002/498,689 = 498,689/x
  3. Step 3: Cross multiply
    326,002x = 498,689 × 498,689
  4. Step 4: Simplify right side
    326,002x = 248,690,718,721
  5. Step 5: Solve for x
    x = 248,690,718,721/326,002
  6. Step 6: Final answer
    x = 762,850.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.