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Finding the Third Proportional to 534.52 and 851.77

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Solution

The third proportional to 534.52 and 851.77 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 851.77 = 851.77 : x
  2. Step 2: Convert to fraction form
    534.52/851.77 = 851.77/x
  3. Step 3: Cross multiply
    534.52x = 851.77 × 851.77
  4. Step 4: Simplify right side
    534.52x = 725,504.68
  5. Step 5: Solve for x
    x = 725,504.68/534.52
  6. Step 6: Final answer
    x = 1,357.31

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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.