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Finding the Third Proportional to 597,869 and 888,288

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Solution

The third proportional to 597,869 and 888,288 is: 1,319,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,869 : 888,288 = 888,288 : x
  2. Step 2: Convert to fraction form
    597,869/888,288 = 888,288/x
  3. Step 3: Cross multiply
    597,869x = 888,288 × 888,288
  4. Step 4: Simplify right side
    597,869x = 789,055,570,944
  5. Step 5: Solve for x
    x = 789,055,570,944/597,869
  6. Step 6: Final answer
    x = 1,319,780.04

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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.