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Finding the Third Proportional to 217,811 and 467,138

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Solution

The third proportional to 217,811 and 467,138 is: 1,001,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,811 : 467,138 = 467,138 : x
  2. Step 2: Convert to fraction form
    217,811/467,138 = 467,138/x
  3. Step 3: Cross multiply
    217,811x = 467,138 × 467,138
  4. Step 4: Simplify right side
    217,811x = 218,217,911,044
  5. Step 5: Solve for x
    x = 218,217,911,044/217,811
  6. Step 6: Final answer
    x = 1,001,868.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.