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Finding the Third Proportional to 450.63 and 959.38

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Solution

The third proportional to 450.63 and 959.38 is: 2,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.63 : 959.38 = 959.38 : x
  2. Step 2: Convert to fraction form
    450.63/959.38 = 959.38/x
  3. Step 3: Cross multiply
    450.63x = 959.38 × 959.38
  4. Step 4: Simplify right side
    450.63x = 920,400.39
  5. Step 5: Solve for x
    x = 920,400.39/450.63
  6. Step 6: Final answer
    x = 2,042.50

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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.