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Finding the Third Proportional to 363,827 and 765,353

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Solution

The third proportional to 363,827 and 765,353 is: 1,610,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,827 : 765,353 = 765,353 : x
  2. Step 2: Convert to fraction form
    363,827/765,353 = 765,353/x
  3. Step 3: Cross multiply
    363,827x = 765,353 × 765,353
  4. Step 4: Simplify right side
    363,827x = 585,765,214,609
  5. Step 5: Solve for x
    x = 585,765,214,609/363,827
  6. Step 6: Final answer
    x = 1,610,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.