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Finding the Third Proportional to 214,068 and 463,794

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Solution

The third proportional to 214,068 and 463,794 is: 1,004,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,068 : 463,794 = 463,794 : x
  2. Step 2: Convert to fraction form
    214,068/463,794 = 463,794/x
  3. Step 3: Cross multiply
    214,068x = 463,794 × 463,794
  4. Step 4: Simplify right side
    214,068x = 215,104,874,436
  5. Step 5: Solve for x
    x = 215,104,874,436/214,068
  6. Step 6: Final answer
    x = 1,004,843.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.