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Finding the Third Proportional to 389,016 and 591,519

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Solution

The third proportional to 389,016 and 591,519 is: 899,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,016 : 591,519 = 591,519 : x
  2. Step 2: Convert to fraction form
    389,016/591,519 = 591,519/x
  3. Step 3: Cross multiply
    389,016x = 591,519 × 591,519
  4. Step 4: Simplify right side
    389,016x = 349,894,727,361
  5. Step 5: Solve for x
    x = 349,894,727,361/389,016
  6. Step 6: Final answer
    x = 899,435.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.