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Finding the Third Proportional to 241,956 and 384,327

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Solution

The third proportional to 241,956 and 384,327 is: 610,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,956 : 384,327 = 384,327 : x
  2. Step 2: Convert to fraction form
    241,956/384,327 = 384,327/x
  3. Step 3: Cross multiply
    241,956x = 384,327 × 384,327
  4. Step 4: Simplify right side
    241,956x = 147,707,242,929
  5. Step 5: Solve for x
    x = 147,707,242,929/241,956
  6. Step 6: Final answer
    x = 610,471.50

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Why These Related Problems?

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