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Finding the Third Proportional to 333.84 and 524.53

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Solution

The third proportional to 333.84 and 524.53 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 524.53 = 524.53 : x
  2. Step 2: Convert to fraction form
    333.84/524.53 = 524.53/x
  3. Step 3: Cross multiply
    333.84x = 524.53 × 524.53
  4. Step 4: Simplify right side
    333.84x = 275,133.03
  5. Step 5: Solve for x
    x = 275,133.03/333.84
  6. Step 6: Final answer
    x = 824.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.