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Finding the Third Proportional to 524.50 and 752.75

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Solution

The third proportional to 524.50 and 752.75 is: 1,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 752.75 = 752.75 : x
  2. Step 2: Convert to fraction form
    524.50/752.75 = 752.75/x
  3. Step 3: Cross multiply
    524.50x = 752.75 × 752.75
  4. Step 4: Simplify right side
    524.50x = 566,632.56
  5. Step 5: Solve for x
    x = 566,632.56/524.50
  6. Step 6: Final answer
    x = 1,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.