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Finding the Third Proportional to 339,608 and 738,184

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Solution

The third proportional to 339,608 and 738,184 is: 1,604,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,608 : 738,184 = 738,184 : x
  2. Step 2: Convert to fraction form
    339,608/738,184 = 738,184/x
  3. Step 3: Cross multiply
    339,608x = 738,184 × 738,184
  4. Step 4: Simplify right side
    339,608x = 544,915,617,856
  5. Step 5: Solve for x
    x = 544,915,617,856/339,608
  6. Step 6: Final answer
    x = 1,604,542.94

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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.