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Finding the Third Proportional to 695.54 and 1,519.22

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Solution

The third proportional to 695.54 and 1,519.22 is: 3,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.54 : 1,519.22 = 1,519.22 : x
  2. Step 2: Convert to fraction form
    695.54/1,519.22 = 1,519.22/x
  3. Step 3: Cross multiply
    695.54x = 1,519.22 × 1,519.22
  4. Step 4: Simplify right side
    695.54x = 2,308,043.41
  5. Step 5: Solve for x
    x = 2,308,043.41/695.54
  6. Step 6: Final answer
    x = 3,318.35

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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.