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Finding the Third Proportional to 467.25 and 1,259.25

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Solution

The third proportional to 467.25 and 1,259.25 is: 3,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 1,259.25 = 1,259.25 : x
  2. Step 2: Convert to fraction form
    467.25/1,259.25 = 1,259.25/x
  3. Step 3: Cross multiply
    467.25x = 1,259.25 × 1,259.25
  4. Step 4: Simplify right side
    467.25x = 1,585,710.56
  5. Step 5: Solve for x
    x = 1,585,710.56/467.25
  6. Step 6: Final answer
    x = 3,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.