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Finding the Third Proportional to 462 and 522.75

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Solution

The third proportional to 462 and 522.75 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 522.75 = 522.75 : x
  2. Step 2: Convert to fraction form
    462/522.75 = 522.75/x
  3. Step 3: Cross multiply
    462x = 522.75 × 522.75
  4. Step 4: Simplify right side
    462x = 273,267.56
  5. Step 5: Solve for x
    x = 273,267.56/462
  6. Step 6: Final answer
    x = 591.49

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.