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Finding the Third Proportional to 576.38 and 881.44

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Solution

The third proportional to 576.38 and 881.44 is: 1,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 881.44 = 881.44 : x
  2. Step 2: Convert to fraction form
    576.38/881.44 = 881.44/x
  3. Step 3: Cross multiply
    576.38x = 881.44 × 881.44
  4. Step 4: Simplify right side
    576.38x = 776,932.07
  5. Step 5: Solve for x
    x = 776,932.07/576.38
  6. Step 6: Final answer
    x = 1,347.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.