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Finding the Third Proportional to 464.91 and 681.05

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Solution

The third proportional to 464.91 and 681.05 is: 997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 681.05 = 681.05 : x
  2. Step 2: Convert to fraction form
    464.91/681.05 = 681.05/x
  3. Step 3: Cross multiply
    464.91x = 681.05 × 681.05
  4. Step 4: Simplify right side
    464.91x = 463,824.85
  5. Step 5: Solve for x
    x = 463,824.85/464.91
  6. Step 6: Final answer
    x = 997.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.