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Finding the Third Proportional to 375,771 and 582,753

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Solution

The third proportional to 375,771 and 582,753 is: 903,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,771 : 582,753 = 582,753 : x
  2. Step 2: Convert to fraction form
    375,771/582,753 = 582,753/x
  3. Step 3: Cross multiply
    375,771x = 582,753 × 582,753
  4. Step 4: Simplify right side
    375,771x = 339,601,059,009
  5. Step 5: Solve for x
    x = 339,601,059,009/375,771
  6. Step 6: Final answer
    x = 903,744.72

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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.