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Finding the Third Proportional to 213,486.75 and 458,631

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Solution

The third proportional to 213,486.75 and 458,631 is: 985,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,486.75 : 458,631 = 458,631 : x
  2. Step 2: Convert to fraction form
    213,486.75/458,631 = 458,631/x
  3. Step 3: Cross multiply
    213,486.75x = 458,631 × 458,631
  4. Step 4: Simplify right side
    213,486.75x = 210,342,394,161
  5. Step 5: Solve for x
    x = 210,342,394,161/213,486.75
  6. Step 6: Final answer
    x = 985,271.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.