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Finding the Third Proportional to 301,110.75 and 454,217.63

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Solution

The third proportional to 301,110.75 and 454,217.63 is: 685,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,110.75 : 454,217.63 = 454,217.63 : x
  2. Step 2: Convert to fraction form
    301,110.75/454,217.63 = 454,217.63/x
  3. Step 3: Cross multiply
    301,110.75x = 454,217.63 × 454,217.63
  4. Step 4: Simplify right side
    301,110.75x = 206,313,650,860.64
  5. Step 5: Solve for x
    x = 206,313,650,860.64/301,110.75
  6. Step 6: Final answer
    x = 685,175.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.