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Finding the Third Proportional to 241,914.75 and 384,324

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Solution

The third proportional to 241,914.75 and 384,324 is: 610,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,914.75 : 384,324 = 384,324 : x
  2. Step 2: Convert to fraction form
    241,914.75/384,324 = 384,324/x
  3. Step 3: Cross multiply
    241,914.75x = 384,324 × 384,324
  4. Step 4: Simplify right side
    241,914.75x = 147,704,936,976
  5. Step 5: Solve for x
    x = 147,704,936,976/241,914.75
  6. Step 6: Final answer
    x = 610,566.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.