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Finding the Third Proportional to 484,228 and 800,262

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Solution

The third proportional to 484,228 and 800,262 is: 1,322,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,228 : 800,262 = 800,262 : x
  2. Step 2: Convert to fraction form
    484,228/800,262 = 800,262/x
  3. Step 3: Cross multiply
    484,228x = 800,262 × 800,262
  4. Step 4: Simplify right side
    484,228x = 640,419,268,644
  5. Step 5: Solve for x
    x = 640,419,268,644/484,228
  6. Step 6: Final answer
    x = 1,322,557.28

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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.