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Finding the Third Proportional to 358 and 791

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Solution

The third proportional to 358 and 791 is: 1,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 791 = 791 : x
  2. Step 2: Convert to fraction form
    358/791 = 791/x
  3. Step 3: Cross multiply
    358x = 791 × 791
  4. Step 4: Simplify right side
    358x = 625,681
  5. Step 5: Solve for x
    x = 625,681/358
  6. Step 6: Final answer
    x = 1,747.71

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.