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Finding the Third Proportional to 269,790.75 and 582,808.50

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Solution

The third proportional to 269,790.75 and 582,808.50 is: 1,258,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,790.75 : 582,808.50 = 582,808.50 : x
  2. Step 2: Convert to fraction form
    269,790.75/582,808.50 = 582,808.50/x
  3. Step 3: Cross multiply
    269,790.75x = 582,808.50 × 582,808.50
  4. Step 4: Simplify right side
    269,790.75x = 339,665,747,672.25
  5. Step 5: Solve for x
    x = 339,665,747,672.25/269,790.75
  6. Step 6: Final answer
    x = 1,258,997.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.