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Finding the Third Proportional to 538.13 and 892.13

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Solution

The third proportional to 538.13 and 892.13 is: 1,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 892.13 = 892.13 : x
  2. Step 2: Convert to fraction form
    538.13/892.13 = 892.13/x
  3. Step 3: Cross multiply
    538.13x = 892.13 × 892.13
  4. Step 4: Simplify right side
    538.13x = 795,887.02
  5. Step 5: Solve for x
    x = 795,887.02/538.13
  6. Step 6: Final answer
    x = 1,479.00

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.