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Finding the Third Proportional to 505,298.25 and 1,094,712.75

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Solution

The third proportional to 505,298.25 and 1,094,712.75 is: 2,371,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,298.25 : 1,094,712.75 = 1,094,712.75 : x
  2. Step 2: Convert to fraction form
    505,298.25/1,094,712.75 = 1,094,712.75/x
  3. Step 3: Cross multiply
    505,298.25x = 1,094,712.75 × 1,094,712.75
  4. Step 4: Simplify right side
    505,298.25x = 1,198,396,005,012.56
  5. Step 5: Solve for x
    x = 1,198,396,005,012.56/505,298.25
  6. Step 6: Final answer
    x = 2,371,660.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.