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Finding the Third Proportional to 333.39 and 491.52

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Solution

The third proportional to 333.39 and 491.52 is: 724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.39 : 491.52 = 491.52 : x
  2. Step 2: Convert to fraction form
    333.39/491.52 = 491.52/x
  3. Step 3: Cross multiply
    333.39x = 491.52 × 491.52
  4. Step 4: Simplify right side
    333.39x = 241,591.45
  5. Step 5: Solve for x
    x = 241,591.45/333.39
  6. Step 6: Final answer
    x = 724.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.