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Finding the Third Proportional to 336.41 and 724.34

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Solution

The third proportional to 336.41 and 724.34 is: 1,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.41 : 724.34 = 724.34 : x
  2. Step 2: Convert to fraction form
    336.41/724.34 = 724.34/x
  3. Step 3: Cross multiply
    336.41x = 724.34 × 724.34
  4. Step 4: Simplify right side
    336.41x = 524,673.87
  5. Step 5: Solve for x
    x = 524,673.87/336.41
  6. Step 6: Final answer
    x = 1,559.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.