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Finding the Third Proportional to 287,292.50 and 582,792.50

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Solution

The third proportional to 287,292.50 and 582,792.50 is: 1,182,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,292.50 : 582,792.50 = 582,792.50 : x
  2. Step 2: Convert to fraction form
    287,292.50/582,792.50 = 582,792.50/x
  3. Step 3: Cross multiply
    287,292.50x = 582,792.50 × 582,792.50
  4. Step 4: Simplify right side
    287,292.50x = 339,647,098,056.25
  5. Step 5: Solve for x
    x = 339,647,098,056.25/287,292.50
  6. Step 6: Final answer
    x = 1,182,234.48

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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.