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Finding the Third Proportional to 340,728.75 and 737,879.63

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Solution

The third proportional to 340,728.75 and 737,879.63 is: 1,597,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,728.75 : 737,879.63 = 737,879.63 : x
  2. Step 2: Convert to fraction form
    340,728.75/737,879.63 = 737,879.63/x
  3. Step 3: Cross multiply
    340,728.75x = 737,879.63 × 737,879.63
  4. Step 4: Simplify right side
    340,728.75x = 544,466,340,990.14
  5. Step 5: Solve for x
    x = 544,466,340,990.14/340,728.75
  6. Step 6: Final answer
    x = 1,597,946.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.