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Finding the Third Proportional to 252.49 and 524.60

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Solution

The third proportional to 252.49 and 524.60 is: 1,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 524.60 = 524.60 : x
  2. Step 2: Convert to fraction form
    252.49/524.60 = 524.60/x
  3. Step 3: Cross multiply
    252.49x = 524.60 × 524.60
  4. Step 4: Simplify right side
    252.49x = 275,206.80
  5. Step 5: Solve for x
    x = 275,206.80/252.49
  6. Step 6: Final answer
    x = 1,089.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.