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Finding the Third Proportional to 714.75 and 771.38

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Solution

The third proportional to 714.75 and 771.38 is: 832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.75 : 771.38 = 771.38 : x
  2. Step 2: Convert to fraction form
    714.75/771.38 = 771.38/x
  3. Step 3: Cross multiply
    714.75x = 771.38 × 771.38
  4. Step 4: Simplify right side
    714.75x = 595,019.39
  5. Step 5: Solve for x
    x = 595,019.39/714.75
  6. Step 6: Final answer
    x = 832.49

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.