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Finding the Third Proportional to 331,296.33 and 727,676.79

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Solution

The third proportional to 331,296.33 and 727,676.79 is: 1,598,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,296.33 : 727,676.79 = 727,676.79 : x
  2. Step 2: Convert to fraction form
    331,296.33/727,676.79 = 727,676.79/x
  3. Step 3: Cross multiply
    331,296.33x = 727,676.79 × 727,676.79
  4. Step 4: Simplify right side
    331,296.33x = 529,513,509,340.31
  5. Step 5: Solve for x
    x = 529,513,509,340.31/331,296.33
  6. Step 6: Final answer
    x = 1,598,307.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.