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Finding the Third Proportional to 214,467 and 470,946

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Solution

The third proportional to 214,467 and 470,946 is: 1,034,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467 : 470,946 = 470,946 : x
  2. Step 2: Convert to fraction form
    214,467/470,946 = 470,946/x
  3. Step 3: Cross multiply
    214,467x = 470,946 × 470,946
  4. Step 4: Simplify right side
    214,467x = 221,790,134,916
  5. Step 5: Solve for x
    x = 221,790,134,916/214,467
  6. Step 6: Final answer
    x = 1,034,145.74

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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.