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Finding the Third Proportional to 230,515.88 and 472,452.75

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Solution

The third proportional to 230,515.88 and 472,452.75 is: 968,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515.88 : 472,452.75 = 472,452.75 : x
  2. Step 2: Convert to fraction form
    230,515.88/472,452.75 = 472,452.75/x
  3. Step 3: Cross multiply
    230,515.88x = 472,452.75 × 472,452.75
  4. Step 4: Simplify right side
    230,515.88x = 223,211,600,982.56
  5. Step 5: Solve for x
    x = 223,211,600,982.56/230,515.88
  6. Step 6: Final answer
    x = 968,313.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.