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Finding the Third Proportional to 327,483 and 505,696.50

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Solution

The third proportional to 327,483 and 505,696.50 is: 780,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,483 : 505,696.50 = 505,696.50 : x
  2. Step 2: Convert to fraction form
    327,483/505,696.50 = 505,696.50/x
  3. Step 3: Cross multiply
    327,483x = 505,696.50 × 505,696.50
  4. Step 4: Simplify right side
    327,483x = 255,728,950,112.25
  5. Step 5: Solve for x
    x = 255,728,950,112.25/327,483
  6. Step 6: Final answer
    x = 780,892.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.