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Finding the Third Proportional to 450.38 and 958.88

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Solution

The third proportional to 450.38 and 958.88 is: 2,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.38 : 958.88 = 958.88 : x
  2. Step 2: Convert to fraction form
    450.38/958.88 = 958.88/x
  3. Step 3: Cross multiply
    450.38x = 958.88 × 958.88
  4. Step 4: Simplify right side
    450.38x = 919,441.27
  5. Step 5: Solve for x
    x = 919,441.27/450.38
  6. Step 6: Final answer
    x = 2,041.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.