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Finding the Third Proportional to 422,590.50 and 925,245

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Solution

The third proportional to 422,590.50 and 925,245 is: 2,025,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,590.50 : 925,245 = 925,245 : x
  2. Step 2: Convert to fraction form
    422,590.50/925,245 = 925,245/x
  3. Step 3: Cross multiply
    422,590.50x = 925,245 × 925,245
  4. Step 4: Simplify right side
    422,590.50x = 856,078,310,025
  5. Step 5: Solve for x
    x = 856,078,310,025/422,590.50
  6. Step 6: Final answer
    x = 2,025,786.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.