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Finding the Third Proportional to 214,299 and 466,686

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Solution

The third proportional to 214,299 and 466,686 is: 1,016,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,299 : 466,686 = 466,686 : x
  2. Step 2: Convert to fraction form
    214,299/466,686 = 466,686/x
  3. Step 3: Cross multiply
    214,299x = 466,686 × 466,686
  4. Step 4: Simplify right side
    214,299x = 217,795,822,596
  5. Step 5: Solve for x
    x = 217,795,822,596/214,299
  6. Step 6: Final answer
    x = 1,016,317.49

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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.