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Finding the Third Proportional to 416,623.50 and 997,545.38

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Solution

The third proportional to 416,623.50 and 997,545.38 is: 2,388,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,623.50 : 997,545.38 = 997,545.38 : x
  2. Step 2: Convert to fraction form
    416,623.50/997,545.38 = 997,545.38/x
  3. Step 3: Cross multiply
    416,623.50x = 997,545.38 × 997,545.38
  4. Step 4: Simplify right side
    416,623.50x = 995,096,775,183.89
  5. Step 5: Solve for x
    x = 995,096,775,183.89/416,623.50
  6. Step 6: Final answer
    x = 2,388,479.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.