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Finding the Third Proportional to 324.37 and 695.58

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Solution

The third proportional to 324.37 and 695.58 is: 1,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 695.58 = 695.58 : x
  2. Step 2: Convert to fraction form
    324.37/695.58 = 695.58/x
  3. Step 3: Cross multiply
    324.37x = 695.58 × 695.58
  4. Step 4: Simplify right side
    324.37x = 483,837.84
  5. Step 5: Solve for x
    x = 483,837.84/324.37
  6. Step 6: Final answer
    x = 1,491.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.