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Finding the Third Proportional to 357.38 and 795.94

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Solution

The third proportional to 357.38 and 795.94 is: 1,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 795.94 = 795.94 : x
  2. Step 2: Convert to fraction form
    357.38/795.94 = 795.94/x
  3. Step 3: Cross multiply
    357.38x = 795.94 × 795.94
  4. Step 4: Simplify right side
    357.38x = 633,516.50
  5. Step 5: Solve for x
    x = 633,516.50/357.38
  6. Step 6: Final answer
    x = 1,772.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.