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Finding the Third Proportional to 339,361 and 731,174

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Solution

The third proportional to 339,361 and 731,174 is: 1,575,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,361 : 731,174 = 731,174 : x
  2. Step 2: Convert to fraction form
    339,361/731,174 = 731,174/x
  3. Step 3: Cross multiply
    339,361x = 731,174 × 731,174
  4. Step 4: Simplify right side
    339,361x = 534,615,418,276
  5. Step 5: Solve for x
    x = 534,615,418,276/339,361
  6. Step 6: Final answer
    x = 1,575,359.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.