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Finding the Third Proportional to 522.07 and 600.86

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Solution

The third proportional to 522.07 and 600.86 is: 691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 600.86 = 600.86 : x
  2. Step 2: Convert to fraction form
    522.07/600.86 = 600.86/x
  3. Step 3: Cross multiply
    522.07x = 600.86 × 600.86
  4. Step 4: Simplify right side
    522.07x = 361,027.29
  5. Step 5: Solve for x
    x = 361,027.29/522.07
  6. Step 6: Final answer
    x = 691.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.