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Finding the Third Proportional to 583.14 and 1,241.26

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Solution

The third proportional to 583.14 and 1,241.26 is: 2,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 1,241.26 = 1,241.26 : x
  2. Step 2: Convert to fraction form
    583.14/1,241.26 = 1,241.26/x
  3. Step 3: Cross multiply
    583.14x = 1,241.26 × 1,241.26
  4. Step 4: Simplify right side
    583.14x = 1,540,730.65
  5. Step 5: Solve for x
    x = 1,540,730.65/583.14
  6. Step 6: Final answer
    x = 2,642.14

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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.