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Finding the Third Proportional to 222,329 and 486,822

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Solution

The third proportional to 222,329 and 486,822 is: 1,065,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,329 : 486,822 = 486,822 : x
  2. Step 2: Convert to fraction form
    222,329/486,822 = 486,822/x
  3. Step 3: Cross multiply
    222,329x = 486,822 × 486,822
  4. Step 4: Simplify right side
    222,329x = 236,995,659,684
  5. Step 5: Solve for x
    x = 236,995,659,684/222,329
  6. Step 6: Final answer
    x = 1,065,968.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.