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Finding the Third Proportional to 657.38 and 852.94

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Solution

The third proportional to 657.38 and 852.94 is: 1,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 852.94 = 852.94 : x
  2. Step 2: Convert to fraction form
    657.38/852.94 = 852.94/x
  3. Step 3: Cross multiply
    657.38x = 852.94 × 852.94
  4. Step 4: Simplify right side
    657.38x = 727,502.38
  5. Step 5: Solve for x
    x = 727,502.38/657.38
  6. Step 6: Final answer
    x = 1,106.68

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.