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Finding the Third Proportional to 464.06 and 613.41

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Solution

The third proportional to 464.06 and 613.41 is: 810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 613.41 = 613.41 : x
  2. Step 2: Convert to fraction form
    464.06/613.41 = 613.41/x
  3. Step 3: Cross multiply
    464.06x = 613.41 × 613.41
  4. Step 4: Simplify right side
    464.06x = 376,267.23
  5. Step 5: Solve for x
    x = 376,267.23/464.06
  6. Step 6: Final answer
    x = 810.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.