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Finding the Third Proportional to 337,721 and 731,483

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Solution

The third proportional to 337,721 and 731,483 is: 1,584,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,721 : 731,483 = 731,483 : x
  2. Step 2: Convert to fraction form
    337,721/731,483 = 731,483/x
  3. Step 3: Cross multiply
    337,721x = 731,483 × 731,483
  4. Step 4: Simplify right side
    337,721x = 535,067,379,289
  5. Step 5: Solve for x
    x = 535,067,379,289/337,721
  6. Step 6: Final answer
    x = 1,584,347.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.