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Finding the Third Proportional to 336.13 and 738.39

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Solution

The third proportional to 336.13 and 738.39 is: 1,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 738.39 = 738.39 : x
  2. Step 2: Convert to fraction form
    336.13/738.39 = 738.39/x
  3. Step 3: Cross multiply
    336.13x = 738.39 × 738.39
  4. Step 4: Simplify right side
    336.13x = 545,214.95
  5. Step 5: Solve for x
    x = 545,214.95/336.13
  6. Step 6: Final answer
    x = 1,622.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.