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Finding the Third Proportional to 325,198.50 and 492,384

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Solution

The third proportional to 325,198.50 and 492,384 is: 745,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,198.50 : 492,384 = 492,384 : x
  2. Step 2: Convert to fraction form
    325,198.50/492,384 = 492,384/x
  3. Step 3: Cross multiply
    325,198.50x = 492,384 × 492,384
  4. Step 4: Simplify right side
    325,198.50x = 242,442,003,456
  5. Step 5: Solve for x
    x = 242,442,003,456/325,198.50
  6. Step 6: Final answer
    x = 745,520.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.