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Finding the Third Proportional to 538.13 and 884.81

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Solution

The third proportional to 538.13 and 884.81 is: 1,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 884.81 = 884.81 : x
  2. Step 2: Convert to fraction form
    538.13/884.81 = 884.81/x
  3. Step 3: Cross multiply
    538.13x = 884.81 × 884.81
  4. Step 4: Simplify right side
    538.13x = 782,893.16
  5. Step 5: Solve for x
    x = 782,893.16/538.13
  6. Step 6: Final answer
    x = 1,454.85

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.