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Finding the Third Proportional to 594.19 and 1,291.97

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Solution

The third proportional to 594.19 and 1,291.97 is: 2,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.19 : 1,291.97 = 1,291.97 : x
  2. Step 2: Convert to fraction form
    594.19/1,291.97 = 1,291.97/x
  3. Step 3: Cross multiply
    594.19x = 1,291.97 × 1,291.97
  4. Step 4: Simplify right side
    594.19x = 1,669,183.25
  5. Step 5: Solve for x
    x = 1,669,183.25/594.19
  6. Step 6: Final answer
    x = 2,809.19

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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.