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Finding the Third Proportional to 287,295.75 and 582,799.50

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Solution

The third proportional to 287,295.75 and 582,799.50 is: 1,182,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,295.75 : 582,799.50 = 582,799.50 : x
  2. Step 2: Convert to fraction form
    287,295.75/582,799.50 = 582,799.50/x
  3. Step 3: Cross multiply
    287,295.75x = 582,799.50 × 582,799.50
  4. Step 4: Simplify right side
    287,295.75x = 339,655,257,200.25
  5. Step 5: Solve for x
    x = 339,655,257,200.25/287,295.75
  6. Step 6: Final answer
    x = 1,182,249.50

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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.