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Finding the Third Proportional to 484,226 and 800,259

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Solution

The third proportional to 484,226 and 800,259 is: 1,322,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,226 : 800,259 = 800,259 : x
  2. Step 2: Convert to fraction form
    484,226/800,259 = 800,259/x
  3. Step 3: Cross multiply
    484,226x = 800,259 × 800,259
  4. Step 4: Simplify right side
    484,226x = 640,414,467,081
  5. Step 5: Solve for x
    x = 640,414,467,081/484,226
  6. Step 6: Final answer
    x = 1,322,552.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.