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Finding the Third Proportional to 467,907.75 and 698,739.75

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Solution

The third proportional to 467,907.75 and 698,739.75 is: 1,043,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,907.75 : 698,739.75 = 698,739.75 : x
  2. Step 2: Convert to fraction form
    467,907.75/698,739.75 = 698,739.75/x
  3. Step 3: Cross multiply
    467,907.75x = 698,739.75 × 698,739.75
  4. Step 4: Simplify right side
    467,907.75x = 488,237,238,230.06
  5. Step 5: Solve for x
    x = 488,237,238,230.06/467,907.75
  6. Step 6: Final answer
    x = 1,043,447.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.