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Finding the Third Proportional to 222,864 and 470,328

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Solution

The third proportional to 222,864 and 470,328 is: 992,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,864 : 470,328 = 470,328 : x
  2. Step 2: Convert to fraction form
    222,864/470,328 = 470,328/x
  3. Step 3: Cross multiply
    222,864x = 470,328 × 470,328
  4. Step 4: Simplify right side
    222,864x = 221,208,427,584
  5. Step 5: Solve for x
    x = 221,208,427,584/222,864
  6. Step 6: Final answer
    x = 992,571.38

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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.