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Finding the Third Proportional to 324.42 and 710.86

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Solution

The third proportional to 324.42 and 710.86 is: 1,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 710.86 = 710.86 : x
  2. Step 2: Convert to fraction form
    324.42/710.86 = 710.86/x
  3. Step 3: Cross multiply
    324.42x = 710.86 × 710.86
  4. Step 4: Simplify right side
    324.42x = 505,321.05
  5. Step 5: Solve for x
    x = 505,321.05/324.42
  6. Step 6: Final answer
    x = 1,557.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.