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Finding the Third Proportional to 376,018 and 582,509

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Solution

The third proportional to 376,018 and 582,509 is: 902,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,018 : 582,509 = 582,509 : x
  2. Step 2: Convert to fraction form
    376,018/582,509 = 582,509/x
  3. Step 3: Cross multiply
    376,018x = 582,509 × 582,509
  4. Step 4: Simplify right side
    376,018x = 339,316,735,081
  5. Step 5: Solve for x
    x = 339,316,735,081/376,018
  6. Step 6: Final answer
    x = 902,394.93

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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.