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Finding the Third Proportional to 404,722 and 593,961

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Solution

The third proportional to 404,722 and 593,961 is: 871,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,722 : 593,961 = 593,961 : x
  2. Step 2: Convert to fraction form
    404,722/593,961 = 593,961/x
  3. Step 3: Cross multiply
    404,722x = 593,961 × 593,961
  4. Step 4: Simplify right side
    404,722x = 352,789,669,521
  5. Step 5: Solve for x
    x = 352,789,669,521/404,722
  6. Step 6: Final answer
    x = 871,683.94

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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.