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Finding the Third Proportional to 538.13 and 833.06

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Solution

The third proportional to 538.13 and 833.06 is: 1,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 833.06 = 833.06 : x
  2. Step 2: Convert to fraction form
    538.13/833.06 = 833.06/x
  3. Step 3: Cross multiply
    538.13x = 833.06 × 833.06
  4. Step 4: Simplify right side
    538.13x = 693,993.13
  5. Step 5: Solve for x
    x = 693,993.13/538.13
  6. Step 6: Final answer
    x = 1,289.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.