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Finding the Third Proportional to 218,334 and 475,116

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Solution

The third proportional to 218,334 and 475,116 is: 1,033,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,334 : 475,116 = 475,116 : x
  2. Step 2: Convert to fraction form
    218,334/475,116 = 475,116/x
  3. Step 3: Cross multiply
    218,334x = 475,116 × 475,116
  4. Step 4: Simplify right side
    218,334x = 225,735,213,456
  5. Step 5: Solve for x
    x = 225,735,213,456/218,334
  6. Step 6: Final answer
    x = 1,033,898.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.