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Finding the Third Proportional to 433.69 and 580.92

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Solution

The third proportional to 433.69 and 580.92 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.69 : 580.92 = 580.92 : x
  2. Step 2: Convert to fraction form
    433.69/580.92 = 580.92/x
  3. Step 3: Cross multiply
    433.69x = 580.92 × 580.92
  4. Step 4: Simplify right side
    433.69x = 337,470.22
  5. Step 5: Solve for x
    x = 337,470.22/433.69
  6. Step 6: Final answer
    x = 778.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.