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Finding the Third Proportional to 241,909 and 384,247

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Solution

The third proportional to 241,909 and 384,247 is: 610,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,909 : 384,247 = 384,247 : x
  2. Step 2: Convert to fraction form
    241,909/384,247 = 384,247/x
  3. Step 3: Cross multiply
    241,909x = 384,247 × 384,247
  4. Step 4: Simplify right side
    241,909x = 147,645,757,009
  5. Step 5: Solve for x
    x = 147,645,757,009/241,909
  6. Step 6: Final answer
    x = 610,335.94

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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.