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Finding the Third Proportional to 576.75 and 886.31

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Solution

The third proportional to 576.75 and 886.31 is: 1,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 886.31 = 886.31 : x
  2. Step 2: Convert to fraction form
    576.75/886.31 = 886.31/x
  3. Step 3: Cross multiply
    576.75x = 886.31 × 886.31
  4. Step 4: Simplify right side
    576.75x = 785,549.85
  5. Step 5: Solve for x
    x = 785,549.85/576.75
  6. Step 6: Final answer
    x = 1,362.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.