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Finding the Third Proportional to 525.25 and 634.94

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Solution

The third proportional to 525.25 and 634.94 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.25 : 634.94 = 634.94 : x
  2. Step 2: Convert to fraction form
    525.25/634.94 = 634.94/x
  3. Step 3: Cross multiply
    525.25x = 634.94 × 634.94
  4. Step 4: Simplify right side
    525.25x = 403,145.63
  5. Step 5: Solve for x
    x = 403,145.63/525.25
  6. Step 6: Final answer
    x = 767.53

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.