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Finding the Third Proportional to 218,916 and 475,197

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Solution

The third proportional to 218,916 and 475,197 is: 1,031,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916 : 475,197 = 475,197 : x
  2. Step 2: Convert to fraction form
    218,916/475,197 = 475,197/x
  3. Step 3: Cross multiply
    218,916x = 475,197 × 475,197
  4. Step 4: Simplify right side
    218,916x = 225,812,188,809
  5. Step 5: Solve for x
    x = 225,812,188,809/218,916
  6. Step 6: Final answer
    x = 1,031,501.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.