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Finding the Third Proportional to 324.50 and 712.38

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Solution

The third proportional to 324.50 and 712.38 is: 1,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 712.38 = 712.38 : x
  2. Step 2: Convert to fraction form
    324.50/712.38 = 712.38/x
  3. Step 3: Cross multiply
    324.50x = 712.38 × 712.38
  4. Step 4: Simplify right side
    324.50x = 507,478.14
  5. Step 5: Solve for x
    x = 507,478.14/324.50
  6. Step 6: Final answer
    x = 1,563.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.