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Finding the Third Proportional to 589,014.50 and 888,431.50

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Solution

The third proportional to 589,014.50 and 888,431.50 is: 1,340,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,014.50 : 888,431.50 = 888,431.50 : x
  2. Step 2: Convert to fraction form
    589,014.50/888,431.50 = 888,431.50/x
  3. Step 3: Cross multiply
    589,014.50x = 888,431.50 × 888,431.50
  4. Step 4: Simplify right side
    589,014.50x = 789,310,530,192.25
  5. Step 5: Solve for x
    x = 789,310,530,192.25/589,014.50
  6. Step 6: Final answer
    x = 1,340,052.80

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Why These Related Problems?

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