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Finding the Third Proportional to 534.30 and 836.37

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Solution

The third proportional to 534.30 and 836.37 is: 1,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 836.37 = 836.37 : x
  2. Step 2: Convert to fraction form
    534.30/836.37 = 836.37/x
  3. Step 3: Cross multiply
    534.30x = 836.37 × 836.37
  4. Step 4: Simplify right side
    534.30x = 699,510.07
  5. Step 5: Solve for x
    x = 699,510.07/534.30
  6. Step 6: Final answer
    x = 1,309.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.