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Finding the Third Proportional to 222,865 and 470,330

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Solution

The third proportional to 222,865 and 470,330 is: 992,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,865 : 470,330 = 470,330 : x
  2. Step 2: Convert to fraction form
    222,865/470,330 = 470,330/x
  3. Step 3: Cross multiply
    222,865x = 470,330 × 470,330
  4. Step 4: Simplify right side
    222,865x = 221,210,308,900
  5. Step 5: Solve for x
    x = 221,210,308,900/222,865
  6. Step 6: Final answer
    x = 992,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.