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Finding the Third Proportional to 339,365 and 731,182

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Solution

The third proportional to 339,365 and 731,182 is: 1,575,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,365 : 731,182 = 731,182 : x
  2. Step 2: Convert to fraction form
    339,365/731,182 = 731,182/x
  3. Step 3: Cross multiply
    339,365x = 731,182 × 731,182
  4. Step 4: Simplify right side
    339,365x = 534,627,117,124
  5. Step 5: Solve for x
    x = 534,627,117,124/339,365
  6. Step 6: Final answer
    x = 1,575,374.94

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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.