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Finding the Third Proportional to 583.03 and 1,189.69

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Solution

The third proportional to 583.03 and 1,189.69 is: 2,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.03 : 1,189.69 = 1,189.69 : x
  2. Step 2: Convert to fraction form
    583.03/1,189.69 = 1,189.69/x
  3. Step 3: Cross multiply
    583.03x = 1,189.69 × 1,189.69
  4. Step 4: Simplify right side
    583.03x = 1,415,356.35
  5. Step 5: Solve for x
    x = 1,415,356.35/583.03
  6. Step 6: Final answer
    x = 2,427.58

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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.