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Finding the Third Proportional to 505,959.75 and 1,077,468.75

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Solution

The third proportional to 505,959.75 and 1,077,468.75 is: 2,294,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,959.75 : 1,077,468.75 = 1,077,468.75 : x
  2. Step 2: Convert to fraction form
    505,959.75/1,077,468.75 = 1,077,468.75/x
  3. Step 3: Cross multiply
    505,959.75x = 1,077,468.75 × 1,077,468.75
  4. Step 4: Simplify right side
    505,959.75x = 1,160,938,907,226.56
  5. Step 5: Solve for x
    x = 1,160,938,907,226.56/505,959.75
  6. Step 6: Final answer
    x = 2,294,528.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.