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Finding the Third Proportional to 339,816 and 738,704

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Solution

The third proportional to 339,816 and 738,704 is: 1,605,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,816 : 738,704 = 738,704 : x
  2. Step 2: Convert to fraction form
    339,816/738,704 = 738,704/x
  3. Step 3: Cross multiply
    339,816x = 738,704 × 738,704
  4. Step 4: Simplify right side
    339,816x = 545,683,599,616
  5. Step 5: Solve for x
    x = 545,683,599,616/339,816
  6. Step 6: Final answer
    x = 1,605,820.80

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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.