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Finding the Third Proportional to 214,627 and 446,917

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Solution

The third proportional to 214,627 and 446,917 is: 930,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,627 : 446,917 = 446,917 : x
  2. Step 2: Convert to fraction form
    214,627/446,917 = 446,917/x
  3. Step 3: Cross multiply
    214,627x = 446,917 × 446,917
  4. Step 4: Simplify right side
    214,627x = 199,734,804,889
  5. Step 5: Solve for x
    x = 199,734,804,889/214,627
  6. Step 6: Final answer
    x = 930,613.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.