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Finding the Third Proportional to 214,191 and 470,412

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Solution

The third proportional to 214,191 and 470,412 is: 1,033,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,191 : 470,412 = 470,412 : x
  2. Step 2: Convert to fraction form
    214,191/470,412 = 470,412/x
  3. Step 3: Cross multiply
    214,191x = 470,412 × 470,412
  4. Step 4: Simplify right side
    214,191x = 221,287,449,744
  5. Step 5: Solve for x
    x = 221,287,449,744/214,191
  6. Step 6: Final answer
    x = 1,033,131.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.