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Finding the Third Proportional to 472.50 and 522.75

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Solution

The third proportional to 472.50 and 522.75 is: 578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 522.75 = 522.75 : x
  2. Step 2: Convert to fraction form
    472.50/522.75 = 522.75/x
  3. Step 3: Cross multiply
    472.50x = 522.75 × 522.75
  4. Step 4: Simplify right side
    472.50x = 273,267.56
  5. Step 5: Solve for x
    x = 273,267.56/472.50
  6. Step 6: Final answer
    x = 578.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.