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Finding the Third Proportional to 695.06 and 1,505.44

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Solution

The third proportional to 695.06 and 1,505.44 is: 3,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.06 : 1,505.44 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    695.06/1,505.44 = 1,505.44/x
  3. Step 3: Cross multiply
    695.06x = 1,505.44 × 1,505.44
  4. Step 4: Simplify right side
    695.06x = 2,266,342.07
  5. Step 5: Solve for x
    x = 2,266,342.07/695.06
  6. Step 6: Final answer
    x = 3,260.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.