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Finding the Third Proportional to 214,684 and 466,252

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Solution

The third proportional to 214,684 and 466,252 is: 1,012,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,684 : 466,252 = 466,252 : x
  2. Step 2: Convert to fraction form
    214,684/466,252 = 466,252/x
  3. Step 3: Cross multiply
    214,684x = 466,252 × 466,252
  4. Step 4: Simplify right side
    214,684x = 217,390,927,504
  5. Step 5: Solve for x
    x = 217,390,927,504/214,684
  6. Step 6: Final answer
    x = 1,012,608.89

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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.