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Finding the Third Proportional to 325,563.75 and 509,184

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Solution

The third proportional to 325,563.75 and 509,184 is: 796,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,563.75 : 509,184 = 509,184 : x
  2. Step 2: Convert to fraction form
    325,563.75/509,184 = 509,184/x
  3. Step 3: Cross multiply
    325,563.75x = 509,184 × 509,184
  4. Step 4: Simplify right side
    325,563.75x = 259,268,345,856
  5. Step 5: Solve for x
    x = 259,268,345,856/325,563.75
  6. Step 6: Final answer
    x = 796,367.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.