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Finding the Third Proportional to 330,487 and 445,903

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Solution

The third proportional to 330,487 and 445,903 is: 601,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,487 : 445,903 = 445,903 : x
  2. Step 2: Convert to fraction form
    330,487/445,903 = 445,903/x
  3. Step 3: Cross multiply
    330,487x = 445,903 × 445,903
  4. Step 4: Simplify right side
    330,487x = 198,829,485,409
  5. Step 5: Solve for x
    x = 198,829,485,409/330,487
  6. Step 6: Final answer
    x = 601,625.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.