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Finding the Third Proportional to 525 and 674.25

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Solution

The third proportional to 525 and 674.25 is: 865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 674.25 = 674.25 : x
  2. Step 2: Convert to fraction form
    525/674.25 = 674.25/x
  3. Step 3: Cross multiply
    525x = 674.25 × 674.25
  4. Step 4: Simplify right side
    525x = 454,613.06
  5. Step 5: Solve for x
    x = 454,613.06/525
  6. Step 6: Final answer
    x = 865.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.