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Finding the Third Proportional to 336.34 and 724.17

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Solution

The third proportional to 336.34 and 724.17 is: 1,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.34 : 724.17 = 724.17 : x
  2. Step 2: Convert to fraction form
    336.34/724.17 = 724.17/x
  3. Step 3: Cross multiply
    336.34x = 724.17 × 724.17
  4. Step 4: Simplify right side
    336.34x = 524,429.15
  5. Step 5: Solve for x
    x = 524,429.15/336.34
  6. Step 6: Final answer
    x = 1,559.22

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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.