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Finding the Third Proportional to 285,589.50 and 627,232.50

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Solution

The third proportional to 285,589.50 and 627,232.50 is: 1,377,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,589.50 : 627,232.50 = 627,232.50 : x
  2. Step 2: Convert to fraction form
    285,589.50/627,232.50 = 627,232.50/x
  3. Step 3: Cross multiply
    285,589.50x = 627,232.50 × 627,232.50
  4. Step 4: Simplify right side
    285,589.50x = 393,420,609,056.25
  5. Step 5: Solve for x
    x = 393,420,609,056.25/285,589.50
  6. Step 6: Final answer
    x = 1,377,573.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.