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Finding the Third Proportional to 339,039 and 723,060

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Solution

The third proportional to 339,039 and 723,060 is: 1,542,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,039 : 723,060 = 723,060 : x
  2. Step 2: Convert to fraction form
    339,039/723,060 = 723,060/x
  3. Step 3: Cross multiply
    339,039x = 723,060 × 723,060
  4. Step 4: Simplify right side
    339,039x = 522,815,763,600
  5. Step 5: Solve for x
    x = 522,815,763,600/339,039
  6. Step 6: Final answer
    x = 1,542,051.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.