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Finding the Third Proportional to 589.88 and 1,201.03

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Solution

The third proportional to 589.88 and 1,201.03 is: 2,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 1,201.03 = 1,201.03 : x
  2. Step 2: Convert to fraction form
    589.88/1,201.03 = 1,201.03/x
  3. Step 3: Cross multiply
    589.88x = 1,201.03 × 1,201.03
  4. Step 4: Simplify right side
    589.88x = 1,442,476.06
  5. Step 5: Solve for x
    x = 1,442,476.06/589.88
  6. Step 6: Final answer
    x = 2,445.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.