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Finding the Third Proportional to 351,383 and 766,372

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Solution

The third proportional to 351,383 and 766,372 is: 1,671,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,383 : 766,372 = 766,372 : x
  2. Step 2: Convert to fraction form
    351,383/766,372 = 766,372/x
  3. Step 3: Cross multiply
    351,383x = 766,372 × 766,372
  4. Step 4: Simplify right side
    351,383x = 587,326,042,384
  5. Step 5: Solve for x
    x = 587,326,042,384/351,383
  6. Step 6: Final answer
    x = 1,671,469.71

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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.