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Finding the Third Proportional to 384,493.50 and 825,903

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Solution

The third proportional to 384,493.50 and 825,903 is: 1,774,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,493.50 : 825,903 = 825,903 : x
  2. Step 2: Convert to fraction form
    384,493.50/825,903 = 825,903/x
  3. Step 3: Cross multiply
    384,493.50x = 825,903 × 825,903
  4. Step 4: Simplify right side
    384,493.50x = 682,115,765,409
  5. Step 5: Solve for x
    x = 682,115,765,409/384,493.50
  6. Step 6: Final answer
    x = 1,774,063.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.