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Finding the Third Proportional to 404,536 and 582,717

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Solution

The third proportional to 404,536 and 582,717 is: 839,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,536 : 582,717 = 582,717 : x
  2. Step 2: Convert to fraction form
    404,536/582,717 = 582,717/x
  3. Step 3: Cross multiply
    404,536x = 582,717 × 582,717
  4. Step 4: Simplify right side
    404,536x = 339,559,102,089
  5. Step 5: Solve for x
    x = 339,559,102,089/404,536
  6. Step 6: Final answer
    x = 839,379.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.