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Finding the Third Proportional to 589,013.25 and 888,429.75

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Solution

The third proportional to 589,013.25 and 888,429.75 is: 1,340,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,013.25 : 888,429.75 = 888,429.75 : x
  2. Step 2: Convert to fraction form
    589,013.25/888,429.75 = 888,429.75/x
  3. Step 3: Cross multiply
    589,013.25x = 888,429.75 × 888,429.75
  4. Step 4: Simplify right side
    589,013.25x = 789,307,420,685.06
  5. Step 5: Solve for x
    x = 789,307,420,685.06/589,013.25
  6. Step 6: Final answer
    x = 1,340,050.37

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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.