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Finding the Third Proportional to 287,563.50 and 435,375

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Solution

The third proportional to 287,563.50 and 435,375 is: 659,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.50 : 435,375 = 435,375 : x
  2. Step 2: Convert to fraction form
    287,563.50/435,375 = 435,375/x
  3. Step 3: Cross multiply
    287,563.50x = 435,375 × 435,375
  4. Step 4: Simplify right side
    287,563.50x = 189,551,390,625
  5. Step 5: Solve for x
    x = 189,551,390,625/287,563.50
  6. Step 6: Final answer
    x = 659,163.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.