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Finding the Third Proportional to 214,099 and 466,336

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Solution

The third proportional to 214,099 and 466,336 is: 1,015,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,099 : 466,336 = 466,336 : x
  2. Step 2: Convert to fraction form
    214,099/466,336 = 466,336/x
  3. Step 3: Cross multiply
    214,099x = 466,336 × 466,336
  4. Step 4: Simplify right side
    214,099x = 217,469,264,896
  5. Step 5: Solve for x
    x = 217,469,264,896/214,099
  6. Step 6: Final answer
    x = 1,015,741.62

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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.