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Finding the Third Proportional to 325,990 and 498,671

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Solution

The third proportional to 325,990 and 498,671 is: 762,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,990 : 498,671 = 498,671 : x
  2. Step 2: Convert to fraction form
    325,990/498,671 = 498,671/x
  3. Step 3: Cross multiply
    325,990x = 498,671 × 498,671
  4. Step 4: Simplify right side
    325,990x = 248,672,766,241
  5. Step 5: Solve for x
    x = 248,672,766,241/325,990
  6. Step 6: Final answer
    x = 762,823.30

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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.