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Finding the Third Proportional to 301,289.63 and 656,661.94

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Solution

The third proportional to 301,289.63 and 656,661.94 is: 1,431,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,289.63 : 656,661.94 = 656,661.94 : x
  2. Step 2: Convert to fraction form
    301,289.63/656,661.94 = 656,661.94/x
  3. Step 3: Cross multiply
    301,289.63x = 656,661.94 × 656,661.94
  4. Step 4: Simplify right side
    301,289.63x = 431,204,900,161.25
  5. Step 5: Solve for x
    x = 431,204,900,161.25/301,289.63
  6. Step 6: Final answer
    x = 1,431,197.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.