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Finding the Third Proportional to 222,326 and 486,816

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Solution

The third proportional to 222,326 and 486,816 is: 1,065,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,326 : 486,816 = 486,816 : x
  2. Step 2: Convert to fraction form
    222,326/486,816 = 486,816/x
  3. Step 3: Cross multiply
    222,326x = 486,816 × 486,816
  4. Step 4: Simplify right side
    222,326x = 236,989,817,856
  5. Step 5: Solve for x
    x = 236,989,817,856/222,326
  6. Step 6: Final answer
    x = 1,065,956.38

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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.