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Finding the Third Proportional to 588 and 1,440.75

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Solution

The third proportional to 588 and 1,440.75 is: 3,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 1,440.75 = 1,440.75 : x
  2. Step 2: Convert to fraction form
    588/1,440.75 = 1,440.75/x
  3. Step 3: Cross multiply
    588x = 1,440.75 × 1,440.75
  4. Step 4: Simplify right side
    588x = 2,075,760.56
  5. Step 5: Solve for x
    x = 2,075,760.56/588
  6. Step 6: Final answer
    x = 3,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.