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Finding the Third Proportional to 506.11 and 804.94

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Solution

The third proportional to 506.11 and 804.94 is: 1,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.11 : 804.94 = 804.94 : x
  2. Step 2: Convert to fraction form
    506.11/804.94 = 804.94/x
  3. Step 3: Cross multiply
    506.11x = 804.94 × 804.94
  4. Step 4: Simplify right side
    506.11x = 647,924.38
  5. Step 5: Solve for x
    x = 647,924.38/506.11
  6. Step 6: Final answer
    x = 1,280.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.