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Finding the Third Proportional to 505,464.75 and 1,087,994.25

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Solution

The third proportional to 505,464.75 and 1,087,994.25 is: 2,341,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,464.75 : 1,087,994.25 = 1,087,994.25 : x
  2. Step 2: Convert to fraction form
    505,464.75/1,087,994.25 = 1,087,994.25/x
  3. Step 3: Cross multiply
    505,464.75x = 1,087,994.25 × 1,087,994.25
  4. Step 4: Simplify right side
    505,464.75x = 1,183,731,488,033.06
  5. Step 5: Solve for x
    x = 1,183,731,488,033.06/505,464.75
  6. Step 6: Final answer
    x = 2,341,867.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.