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Finding the Third Proportional to 324.25 and 719.38

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Solution

The third proportional to 324.25 and 719.38 is: 1,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 719.38 = 719.38 : x
  2. Step 2: Convert to fraction form
    324.25/719.38 = 719.38/x
  3. Step 3: Cross multiply
    324.25x = 719.38 × 719.38
  4. Step 4: Simplify right side
    324.25x = 517,500.39
  5. Step 5: Solve for x
    x = 517,500.39/324.25
  6. Step 6: Final answer
    x = 1,595.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.