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Finding the Third Proportional to 422,093 and 604,640.75

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Solution

The third proportional to 422,093 and 604,640.75 is: 866,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,093 : 604,640.75 = 604,640.75 : x
  2. Step 2: Convert to fraction form
    422,093/604,640.75 = 604,640.75/x
  3. Step 3: Cross multiply
    422,093x = 604,640.75 × 604,640.75
  4. Step 4: Simplify right side
    422,093x = 365,590,436,560.56
  5. Step 5: Solve for x
    x = 365,590,436,560.56/422,093
  6. Step 6: Final answer
    x = 866,137.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.