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Finding the Third Proportional to 222,677 and 467,236

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Solution

The third proportional to 222,677 and 467,236 is: 980,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,677 : 467,236 = 467,236 : x
  2. Step 2: Convert to fraction form
    222,677/467,236 = 467,236/x
  3. Step 3: Cross multiply
    222,677x = 467,236 × 467,236
  4. Step 4: Simplify right side
    222,677x = 218,309,479,696
  5. Step 5: Solve for x
    x = 218,309,479,696/222,677
  6. Step 6: Final answer
    x = 980,386.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.