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Finding the Third Proportional to 287,286.75 and 582,781.50

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Solution

The third proportional to 287,286.75 and 582,781.50 is: 1,182,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,286.75 : 582,781.50 = 582,781.50 : x
  2. Step 2: Convert to fraction form
    287,286.75/582,781.50 = 582,781.50/x
  3. Step 3: Cross multiply
    287,286.75x = 582,781.50 × 582,781.50
  4. Step 4: Simplify right side
    287,286.75x = 339,634,276,742.25
  5. Step 5: Solve for x
    x = 339,634,276,742.25/287,286.75
  6. Step 6: Final answer
    x = 1,182,213.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.