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Finding the Third Proportional to 373,869 and 580,005

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Solution

The third proportional to 373,869 and 580,005 is: 899,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,869 : 580,005 = 580,005 : x
  2. Step 2: Convert to fraction form
    373,869/580,005 = 580,005/x
  3. Step 3: Cross multiply
    373,869x = 580,005 × 580,005
  4. Step 4: Simplify right side
    373,869x = 336,405,800,025
  5. Step 5: Solve for x
    x = 336,405,800,025/373,869
  6. Step 6: Final answer
    x = 899,795.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.