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Finding the Third Proportional to 264.83 and 576.18

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Solution

The third proportional to 264.83 and 576.18 is: 1,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 576.18 = 576.18 : x
  2. Step 2: Convert to fraction form
    264.83/576.18 = 576.18/x
  3. Step 3: Cross multiply
    264.83x = 576.18 × 576.18
  4. Step 4: Simplify right side
    264.83x = 331,978.53
  5. Step 5: Solve for x
    x = 331,978.53/264.83
  6. Step 6: Final answer
    x = 1,253.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.