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Finding the Third Proportional to 536.44 and 798.84

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Solution

The third proportional to 536.44 and 798.84 is: 1,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 798.84 = 798.84 : x
  2. Step 2: Convert to fraction form
    536.44/798.84 = 798.84/x
  3. Step 3: Cross multiply
    536.44x = 798.84 × 798.84
  4. Step 4: Simplify right side
    536.44x = 638,151.34
  5. Step 5: Solve for x
    x = 638,151.34/536.44
  6. Step 6: Final answer
    x = 1,189.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.