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Finding the Third Proportional to 505,959.75 and 769,299.75

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Solution

The third proportional to 505,959.75 and 769,299.75 is: 1,169,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,959.75 : 769,299.75 = 769,299.75 : x
  2. Step 2: Convert to fraction form
    505,959.75/769,299.75 = 769,299.75/x
  3. Step 3: Cross multiply
    505,959.75x = 769,299.75 × 769,299.75
  4. Step 4: Simplify right side
    505,959.75x = 591,822,105,350.06
  5. Step 5: Solve for x
    x = 591,822,105,350.06/505,959.75
  6. Step 6: Final answer
    x = 1,169,701.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.