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Finding the Third Proportional to 488.06 and 863.06

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Solution

The third proportional to 488.06 and 863.06 is: 1,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.06 : 863.06 = 863.06 : x
  2. Step 2: Convert to fraction form
    488.06/863.06 = 863.06/x
  3. Step 3: Cross multiply
    488.06x = 863.06 × 863.06
  4. Step 4: Simplify right side
    488.06x = 744,876.88
  5. Step 5: Solve for x
    x = 744,876.88/488.06
  6. Step 6: Final answer
    x = 1,526.19

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.