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Finding the Third Proportional to 404,723 and 593,962

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Solution

The third proportional to 404,723 and 593,962 is: 871,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,723 : 593,962 = 593,962 : x
  2. Step 2: Convert to fraction form
    404,723/593,962 = 593,962/x
  3. Step 3: Cross multiply
    404,723x = 593,962 × 593,962
  4. Step 4: Simplify right side
    404,723x = 352,790,857,444
  5. Step 5: Solve for x
    x = 352,790,857,444/404,723
  6. Step 6: Final answer
    x = 871,684.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.