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Finding the Third Proportional to 412,286.50 and 886,900.50

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Solution

The third proportional to 412,286.50 and 886,900.50 is: 1,907,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,286.50 : 886,900.50 = 886,900.50 : x
  2. Step 2: Convert to fraction form
    412,286.50/886,900.50 = 886,900.50/x
  3. Step 3: Cross multiply
    412,286.50x = 886,900.50 × 886,900.50
  4. Step 4: Simplify right side
    412,286.50x = 786,592,496,900.25
  5. Step 5: Solve for x
    x = 786,592,496,900.25/412,286.50
  6. Step 6: Final answer
    x = 1,907,878.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.