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Finding the Third Proportional to 222,806 and 463,972

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Solution

The third proportional to 222,806 and 463,972 is: 966,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,806 : 463,972 = 463,972 : x
  2. Step 2: Convert to fraction form
    222,806/463,972 = 463,972/x
  3. Step 3: Cross multiply
    222,806x = 463,972 × 463,972
  4. Step 4: Simplify right side
    222,806x = 215,270,016,784
  5. Step 5: Solve for x
    x = 215,270,016,784/222,806
  6. Step 6: Final answer
    x = 966,176.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.