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Finding the Third Proportional to 524.94 and 600.88

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Solution

The third proportional to 524.94 and 600.88 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 600.88 = 600.88 : x
  2. Step 2: Convert to fraction form
    524.94/600.88 = 600.88/x
  3. Step 3: Cross multiply
    524.94x = 600.88 × 600.88
  4. Step 4: Simplify right side
    524.94x = 361,050.77
  5. Step 5: Solve for x
    x = 361,050.77/524.94
  6. Step 6: Final answer
    x = 687.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.