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Finding the Third Proportional to 340,390.69 and 740,662.31

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Solution

The third proportional to 340,390.69 and 740,662.31 is: 1,611,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,390.69 : 740,662.31 = 740,662.31 : x
  2. Step 2: Convert to fraction form
    340,390.69/740,662.31 = 740,662.31/x
  3. Step 3: Cross multiply
    340,390.69x = 740,662.31 × 740,662.31
  4. Step 4: Simplify right side
    340,390.69x = 548,580,661,157.85
  5. Step 5: Solve for x
    x = 548,580,661,157.85/340,390.69
  6. Step 6: Final answer
    x = 1,611,620.65

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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.