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Finding the Third Proportional to 464.34 and 958.22

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Solution

The third proportional to 464.34 and 958.22 is: 1,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 958.22 = 958.22 : x
  2. Step 2: Convert to fraction form
    464.34/958.22 = 958.22/x
  3. Step 3: Cross multiply
    464.34x = 958.22 × 958.22
  4. Step 4: Simplify right side
    464.34x = 918,183.17
  5. Step 5: Solve for x
    x = 918,183.17/464.34
  6. Step 6: Final answer
    x = 1,977.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.