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Finding the Third Proportional to 587.25 and 1,265.06

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Solution

The third proportional to 587.25 and 1,265.06 is: 2,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 1,265.06 = 1,265.06 : x
  2. Step 2: Convert to fraction form
    587.25/1,265.06 = 1,265.06/x
  3. Step 3: Cross multiply
    587.25x = 1,265.06 × 1,265.06
  4. Step 4: Simplify right side
    587.25x = 1,600,383.13
  5. Step 5: Solve for x
    x = 1,600,383.13/587.25
  6. Step 6: Final answer
    x = 2,725.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.