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Finding the Third Proportional to 525.09 and 936.84

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Solution

The third proportional to 525.09 and 936.84 is: 1,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.09 : 936.84 = 936.84 : x
  2. Step 2: Convert to fraction form
    525.09/936.84 = 936.84/x
  3. Step 3: Cross multiply
    525.09x = 936.84 × 936.84
  4. Step 4: Simplify right side
    525.09x = 877,676.21
  5. Step 5: Solve for x
    x = 877,676.21/525.09
  6. Step 6: Final answer
    x = 1,671.47

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.