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Finding the Third Proportional to 587.33 and 1,213.10

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Solution

The third proportional to 587.33 and 1,213.10 is: 2,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.33 : 1,213.10 = 1,213.10 : x
  2. Step 2: Convert to fraction form
    587.33/1,213.10 = 1,213.10/x
  3. Step 3: Cross multiply
    587.33x = 1,213.10 × 1,213.10
  4. Step 4: Simplify right side
    587.33x = 1,471,615.40
  5. Step 5: Solve for x
    x = 1,471,615.40/587.33
  6. Step 6: Final answer
    x = 2,505.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.