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Finding the Third Proportional to 216,879 and 333,774

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Solution

The third proportional to 216,879 and 333,774 is: 513,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,879 : 333,774 = 333,774 : x
  2. Step 2: Convert to fraction form
    216,879/333,774 = 333,774/x
  3. Step 3: Cross multiply
    216,879x = 333,774 × 333,774
  4. Step 4: Simplify right side
    216,879x = 111,405,083,076
  5. Step 5: Solve for x
    x = 111,405,083,076/216,879
  6. Step 6: Final answer
    x = 513,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.