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Finding the Third Proportional to 214,291 and 466,679

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Solution

The third proportional to 214,291 and 466,679 is: 1,016,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,291 : 466,679 = 466,679 : x
  2. Step 2: Convert to fraction form
    214,291/466,679 = 466,679/x
  3. Step 3: Cross multiply
    214,291x = 466,679 × 466,679
  4. Step 4: Simplify right side
    214,291x = 217,789,289,041
  5. Step 5: Solve for x
    x = 217,789,289,041/214,291
  6. Step 6: Final answer
    x = 1,016,324.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.