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Finding the Third Proportional to 464.81 and 620.06

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Solution

The third proportional to 464.81 and 620.06 is: 827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 620.06 = 620.06 : x
  2. Step 2: Convert to fraction form
    464.81/620.06 = 620.06/x
  3. Step 3: Cross multiply
    464.81x = 620.06 × 620.06
  4. Step 4: Simplify right side
    464.81x = 384,477.50
  5. Step 5: Solve for x
    x = 384,477.50/464.81
  6. Step 6: Final answer
    x = 827.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.