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Finding the Third Proportional to 597,867 and 888,285

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Solution

The third proportional to 597,867 and 888,285 is: 1,319,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,867 : 888,285 = 888,285 : x
  2. Step 2: Convert to fraction form
    597,867/888,285 = 888,285/x
  3. Step 3: Cross multiply
    597,867x = 888,285 × 888,285
  4. Step 4: Simplify right side
    597,867x = 789,050,241,225
  5. Step 5: Solve for x
    x = 789,050,241,225/597,867
  6. Step 6: Final answer
    x = 1,319,775.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.