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Finding the Third Proportional to 414.38 and 543.94

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Solution

The third proportional to 414.38 and 543.94 is: 714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 543.94 = 543.94 : x
  2. Step 2: Convert to fraction form
    414.38/543.94 = 543.94/x
  3. Step 3: Cross multiply
    414.38x = 543.94 × 543.94
  4. Step 4: Simplify right side
    414.38x = 295,868.00
  5. Step 5: Solve for x
    x = 295,868.00/414.38
  6. Step 6: Final answer
    x = 714.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.