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Finding the Third Proportional to 339,810 and 738,692

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Solution

The third proportional to 339,810 and 738,692 is: 1,605,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,810 : 738,692 = 738,692 : x
  2. Step 2: Convert to fraction form
    339,810/738,692 = 738,692/x
  3. Step 3: Cross multiply
    339,810x = 738,692 × 738,692
  4. Step 4: Simplify right side
    339,810x = 545,665,870,864
  5. Step 5: Solve for x
    x = 545,665,870,864/339,810
  6. Step 6: Final answer
    x = 1,605,796.98

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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.