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Finding the Third Proportional to 565 and 794

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Solution

The third proportional to 565 and 794 is: 1,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 794 = 794 : x
  2. Step 2: Convert to fraction form
    565/794 = 794/x
  3. Step 3: Cross multiply
    565x = 794 × 794
  4. Step 4: Simplify right side
    565x = 630,436
  5. Step 5: Solve for x
    x = 630,436/565
  6. Step 6: Final answer
    x = 1,115.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.