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Finding the Third Proportional to 214,693 and 462,874

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Solution

The third proportional to 214,693 and 462,874 is: 997,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,693 : 462,874 = 462,874 : x
  2. Step 2: Convert to fraction form
    214,693/462,874 = 462,874/x
  3. Step 3: Cross multiply
    214,693x = 462,874 × 462,874
  4. Step 4: Simplify right side
    214,693x = 214,252,339,876
  5. Step 5: Solve for x
    x = 214,252,339,876/214,693
  6. Step 6: Final answer
    x = 997,947.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.