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Finding the Third Proportional to 538.31 and 689.34

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Solution

The third proportional to 538.31 and 689.34 is: 882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 689.34 = 689.34 : x
  2. Step 2: Convert to fraction form
    538.31/689.34 = 689.34/x
  3. Step 3: Cross multiply
    538.31x = 689.34 × 689.34
  4. Step 4: Simplify right side
    538.31x = 475,194.81
  5. Step 5: Solve for x
    x = 475,194.81/538.31
  6. Step 6: Final answer
    x = 882.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.