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Finding the Third Proportional to 449.31 and 952.63

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Solution

The third proportional to 449.31 and 952.63 is: 2,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 952.63 = 952.63 : x
  2. Step 2: Convert to fraction form
    449.31/952.63 = 952.63/x
  3. Step 3: Cross multiply
    449.31x = 952.63 × 952.63
  4. Step 4: Simplify right side
    449.31x = 907,494.39
  5. Step 5: Solve for x
    x = 907,494.39/449.31
  6. Step 6: Final answer
    x = 2,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.