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Finding the Third Proportional to 339.82 and 738.70

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Solution

The third proportional to 339.82 and 738.70 is: 1,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 738.70 = 738.70 : x
  2. Step 2: Convert to fraction form
    339.82/738.70 = 738.70/x
  3. Step 3: Cross multiply
    339.82x = 738.70 × 738.70
  4. Step 4: Simplify right side
    339.82x = 545,682.31
  5. Step 5: Solve for x
    x = 545,682.31/339.82
  6. Step 6: Final answer
    x = 1,605.80

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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.