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Finding the Third Proportional to 329.44 and 514.13

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Solution

The third proportional to 329.44 and 514.13 is: 802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 514.13 = 514.13 : x
  2. Step 2: Convert to fraction form
    329.44/514.13 = 514.13/x
  3. Step 3: Cross multiply
    329.44x = 514.13 × 514.13
  4. Step 4: Simplify right side
    329.44x = 264,324.52
  5. Step 5: Solve for x
    x = 264,324.52/329.44
  6. Step 6: Final answer
    x = 802.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.