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Finding the Third Proportional to 222,346.69 and 486,857.25

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Solution

The third proportional to 222,346.69 and 486,857.25 is: 1,066,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,346.69 : 486,857.25 = 486,857.25 : x
  2. Step 2: Convert to fraction form
    222,346.69/486,857.25 = 486,857.25/x
  3. Step 3: Cross multiply
    222,346.69x = 486,857.25 × 486,857.25
  4. Step 4: Simplify right side
    222,346.69x = 237,029,981,877.56
  5. Step 5: Solve for x
    x = 237,029,981,877.56/222,346.69
  6. Step 6: Final answer
    x = 1,066,037.84

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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.