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Finding the Third Proportional to 464.06 and 696.94

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Solution

The third proportional to 464.06 and 696.94 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 696.94 = 696.94 : x
  2. Step 2: Convert to fraction form
    464.06/696.94 = 696.94/x
  3. Step 3: Cross multiply
    464.06x = 696.94 × 696.94
  4. Step 4: Simplify right side
    464.06x = 485,721.88
  5. Step 5: Solve for x
    x = 485,721.88/464.06
  6. Step 6: Final answer
    x = 1,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.