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Finding the Third Proportional to 339,820 and 731,713

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Solution

The third proportional to 339,820 and 731,713 is: 1,575,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,820 : 731,713 = 731,713 : x
  2. Step 2: Convert to fraction form
    339,820/731,713 = 731,713/x
  3. Step 3: Cross multiply
    339,820x = 731,713 × 731,713
  4. Step 4: Simplify right side
    339,820x = 535,403,914,369
  5. Step 5: Solve for x
    x = 535,403,914,369/339,820
  6. Step 6: Final answer
    x = 1,575,551.51

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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.