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Finding the Third Proportional to 339,093 and 730,674

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Solution

The third proportional to 339,093 and 730,674 is: 1,574,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,093 : 730,674 = 730,674 : x
  2. Step 2: Convert to fraction form
    339,093/730,674 = 730,674/x
  3. Step 3: Cross multiply
    339,093x = 730,674 × 730,674
  4. Step 4: Simplify right side
    339,093x = 533,884,494,276
  5. Step 5: Solve for x
    x = 533,884,494,276/339,093
  6. Step 6: Final answer
    x = 1,574,448.59

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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.