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Finding the Third Proportional to 373,923 and 580,089

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Solution

The third proportional to 373,923 and 580,089 is: 899,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,923 : 580,089 = 580,089 : x
  2. Step 2: Convert to fraction form
    373,923/580,089 = 580,089/x
  3. Step 3: Cross multiply
    373,923x = 580,089 × 580,089
  4. Step 4: Simplify right side
    373,923x = 336,503,247,921
  5. Step 5: Solve for x
    x = 336,503,247,921/373,923
  6. Step 6: Final answer
    x = 899,926.58

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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.