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Finding the Third Proportional to 297,504.38 and 654,057.56

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Solution

The third proportional to 297,504.38 and 654,057.56 is: 1,437,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,504.38 : 654,057.56 = 654,057.56 : x
  2. Step 2: Convert to fraction form
    297,504.38/654,057.56 = 654,057.56/x
  3. Step 3: Cross multiply
    297,504.38x = 654,057.56 × 654,057.56
  4. Step 4: Simplify right side
    297,504.38x = 427,791,295,063.44
  5. Step 5: Solve for x
    x = 427,791,295,063.44/297,504.38
  6. Step 6: Final answer
    x = 1,437,932.79

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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.