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Finding the Third Proportional to 375,968 and 582,533

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Solution

The third proportional to 375,968 and 582,533 is: 902,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,968 : 582,533 = 582,533 : x
  2. Step 2: Convert to fraction form
    375,968/582,533 = 582,533/x
  3. Step 3: Cross multiply
    375,968x = 582,533 × 582,533
  4. Step 4: Simplify right side
    375,968x = 339,344,696,089
  5. Step 5: Solve for x
    x = 339,344,696,089/375,968
  6. Step 6: Final answer
    x = 902,589.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.