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Finding the Third Proportional to 214,267 and 470,565

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Solution

The third proportional to 214,267 and 470,565 is: 1,033,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,267 : 470,565 = 470,565 : x
  2. Step 2: Convert to fraction form
    214,267/470,565 = 470,565/x
  3. Step 3: Cross multiply
    214,267x = 470,565 × 470,565
  4. Step 4: Simplify right side
    214,267x = 221,431,419,225
  5. Step 5: Solve for x
    x = 221,431,419,225/214,267
  6. Step 6: Final answer
    x = 1,033,436.88

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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.