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Finding the Third Proportional to 590.89 and 1,284.29

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Solution

The third proportional to 590.89 and 1,284.29 is: 2,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.89 : 1,284.29 = 1,284.29 : x
  2. Step 2: Convert to fraction form
    590.89/1,284.29 = 1,284.29/x
  3. Step 3: Cross multiply
    590.89x = 1,284.29 × 1,284.29
  4. Step 4: Simplify right side
    590.89x = 1,649,408.43
  5. Step 5: Solve for x
    x = 1,649,408.43/590.89
  6. Step 6: Final answer
    x = 2,791.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.