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Finding the Third Proportional to 329.14 and 716.19

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Solution

The third proportional to 329.14 and 716.19 is: 1,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 716.19 = 716.19 : x
  2. Step 2: Convert to fraction form
    329.14/716.19 = 716.19/x
  3. Step 3: Cross multiply
    329.14x = 716.19 × 716.19
  4. Step 4: Simplify right side
    329.14x = 512,921.74
  5. Step 5: Solve for x
    x = 512,921.74/329.14
  6. Step 6: Final answer
    x = 1,558.36

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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.