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Finding the Third Proportional to 241,903 and 384,306

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Solution

The third proportional to 241,903 and 384,306 is: 610,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,903 : 384,306 = 384,306 : x
  2. Step 2: Convert to fraction form
    241,903/384,306 = 384,306/x
  3. Step 3: Cross multiply
    241,903x = 384,306 × 384,306
  4. Step 4: Simplify right side
    241,903x = 147,691,101,636
  5. Step 5: Solve for x
    x = 147,691,101,636/241,903
  6. Step 6: Final answer
    x = 610,538.53

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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.