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Finding the Third Proportional to 707.06 and 1,540.27

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Solution

The third proportional to 707.06 and 1,540.27 is: 3,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.06 : 1,540.27 = 1,540.27 : x
  2. Step 2: Convert to fraction form
    707.06/1,540.27 = 1,540.27/x
  3. Step 3: Cross multiply
    707.06x = 1,540.27 × 1,540.27
  4. Step 4: Simplify right side
    707.06x = 2,372,418.20
  5. Step 5: Solve for x
    x = 2,372,418.20/707.06
  6. Step 6: Final answer
    x = 3,355.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.