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Finding the Third Proportional to 296,103 and 422,010.75

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Solution

The third proportional to 296,103 and 422,010.75 is: 601,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103 : 422,010.75 = 422,010.75 : x
  2. Step 2: Convert to fraction form
    296,103/422,010.75 = 422,010.75/x
  3. Step 3: Cross multiply
    296,103x = 422,010.75 × 422,010.75
  4. Step 4: Simplify right side
    296,103x = 178,093,073,115.56
  5. Step 5: Solve for x
    x = 178,093,073,115.56/296,103
  6. Step 6: Final answer
    x = 601,456.50

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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.