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Finding the Third Proportional to 536.91 and 863.30

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Solution

The third proportional to 536.91 and 863.30 is: 1,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.91 : 863.30 = 863.30 : x
  2. Step 2: Convert to fraction form
    536.91/863.30 = 863.30/x
  3. Step 3: Cross multiply
    536.91x = 863.30 × 863.30
  4. Step 4: Simplify right side
    536.91x = 745,281.49
  5. Step 5: Solve for x
    x = 745,281.49/536.91
  6. Step 6: Final answer
    x = 1,388.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.