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Finding the Third Proportional to 214,195 and 470,431

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Solution

The third proportional to 214,195 and 470,431 is: 1,033,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,195 : 470,431 = 470,431 : x
  2. Step 2: Convert to fraction form
    214,195/470,431 = 470,431/x
  3. Step 3: Cross multiply
    214,195x = 470,431 × 470,431
  4. Step 4: Simplify right side
    214,195x = 221,305,325,761
  5. Step 5: Solve for x
    x = 221,305,325,761/214,195
  6. Step 6: Final answer
    x = 1,033,195.57

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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.