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Finding the Third Proportional to 657.25 and 925.25

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Solution

The third proportional to 657.25 and 925.25 is: 1,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.25 : 925.25 = 925.25 : x
  2. Step 2: Convert to fraction form
    657.25/925.25 = 925.25/x
  3. Step 3: Cross multiply
    657.25x = 925.25 × 925.25
  4. Step 4: Simplify right side
    657.25x = 856,087.56
  5. Step 5: Solve for x
    x = 856,087.56/657.25
  6. Step 6: Final answer
    x = 1,302.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.