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Finding the Third Proportional to 333.35 and 491.45

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Solution

The third proportional to 333.35 and 491.45 is: 724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.35 : 491.45 = 491.45 : x
  2. Step 2: Convert to fraction form
    333.35/491.45 = 491.45/x
  3. Step 3: Cross multiply
    333.35x = 491.45 × 491.45
  4. Step 4: Simplify right side
    333.35x = 241,522.33
  5. Step 5: Solve for x
    x = 241,522.33/333.35
  6. Step 6: Final answer
    x = 724.53

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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.