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Finding the Third Proportional to 297,625.88 and 654,300.75

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Solution

The third proportional to 297,625.88 and 654,300.75 is: 1,438,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,625.88 : 654,300.75 = 654,300.75 : x
  2. Step 2: Convert to fraction form
    297,625.88/654,300.75 = 654,300.75/x
  3. Step 3: Cross multiply
    297,625.88x = 654,300.75 × 654,300.75
  4. Step 4: Simplify right side
    297,625.88x = 428,109,471,450.56
  5. Step 5: Solve for x
    x = 428,109,471,450.56/297,625.88
  6. Step 6: Final answer
    x = 1,438,414.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.