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Finding the Third Proportional to 594.56 and 1,279.69

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Solution

The third proportional to 594.56 and 1,279.69 is: 2,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 1,279.69 = 1,279.69 : x
  2. Step 2: Convert to fraction form
    594.56/1,279.69 = 1,279.69/x
  3. Step 3: Cross multiply
    594.56x = 1,279.69 × 1,279.69
  4. Step 4: Simplify right side
    594.56x = 1,637,600.10
  5. Step 5: Solve for x
    x = 1,637,600.10/594.56
  6. Step 6: Final answer
    x = 2,754.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.