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Finding the Third Proportional to 465.96 and 1,062.49

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Solution

The third proportional to 465.96 and 1,062.49 is: 2,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 1,062.49 = 1,062.49 : x
  2. Step 2: Convert to fraction form
    465.96/1,062.49 = 1,062.49/x
  3. Step 3: Cross multiply
    465.96x = 1,062.49 × 1,062.49
  4. Step 4: Simplify right side
    465.96x = 1,128,889.65
  5. Step 5: Solve for x
    x = 1,128,889.65/465.96
  6. Step 6: Final answer
    x = 2,422.71

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.