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Finding the Third Proportional to 297,047.25 and 446,993.44

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Solution

The third proportional to 297,047.25 and 446,993.44 is: 672,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,047.25 : 446,993.44 = 446,993.44 : x
  2. Step 2: Convert to fraction form
    297,047.25/446,993.44 = 446,993.44/x
  3. Step 3: Cross multiply
    297,047.25x = 446,993.44 × 446,993.44
  4. Step 4: Simplify right side
    297,047.25x = 199,803,133,168.07
  5. Step 5: Solve for x
    x = 199,803,133,168.07/297,047.25
  6. Step 6: Final answer
    x = 672,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.