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Finding the Third Proportional to 267,463.75 and 582,905.75

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Solution

The third proportional to 267,463.75 and 582,905.75 is: 1,270,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,463.75 : 582,905.75 = 582,905.75 : x
  2. Step 2: Convert to fraction form
    267,463.75/582,905.75 = 582,905.75/x
  3. Step 3: Cross multiply
    267,463.75x = 582,905.75 × 582,905.75
  4. Step 4: Simplify right side
    267,463.75x = 339,779,113,383.06
  5. Step 5: Solve for x
    x = 339,779,113,383.06/267,463.75
  6. Step 6: Final answer
    x = 1,270,374.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.