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Finding the Third Proportional to 376,264.50 and 582,851.25

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Solution

The third proportional to 376,264.50 and 582,851.25 is: 902,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,264.50 : 582,851.25 = 582,851.25 : x
  2. Step 2: Convert to fraction form
    376,264.50/582,851.25 = 582,851.25/x
  3. Step 3: Cross multiply
    376,264.50x = 582,851.25 × 582,851.25
  4. Step 4: Simplify right side
    376,264.50x = 339,715,579,626.56
  5. Step 5: Solve for x
    x = 339,715,579,626.56/376,264.50
  6. Step 6: Final answer
    x = 902,863.76

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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.