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Finding the Third Proportional to 241,992 and 384,381

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Solution

The third proportional to 241,992 and 384,381 is: 610,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,992 : 384,381 = 384,381 : x
  2. Step 2: Convert to fraction form
    241,992/384,381 = 384,381/x
  3. Step 3: Cross multiply
    241,992x = 384,381 × 384,381
  4. Step 4: Simplify right side
    241,992x = 147,748,753,161
  5. Step 5: Solve for x
    x = 147,748,753,161/241,992
  6. Step 6: Final answer
    x = 610,552.22

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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.