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Finding the Third Proportional to 587.88 and 1,268.58

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Solution

The third proportional to 587.88 and 1,268.58 is: 2,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.88 : 1,268.58 = 1,268.58 : x
  2. Step 2: Convert to fraction form
    587.88/1,268.58 = 1,268.58/x
  3. Step 3: Cross multiply
    587.88x = 1,268.58 × 1,268.58
  4. Step 4: Simplify right side
    587.88x = 1,609,290.46
  5. Step 5: Solve for x
    x = 1,609,290.46/587.88
  6. Step 6: Final answer
    x = 2,737.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.