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Finding the Third Proportional to 579.30 and 1,196.93

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Solution

The third proportional to 579.30 and 1,196.93 is: 2,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.30 : 1,196.93 = 1,196.93 : x
  2. Step 2: Convert to fraction form
    579.30/1,196.93 = 1,196.93/x
  3. Step 3: Cross multiply
    579.30x = 1,196.93 × 1,196.93
  4. Step 4: Simplify right side
    579.30x = 1,432,640.68
  5. Step 5: Solve for x
    x = 1,432,640.68/579.30
  6. Step 6: Final answer
    x = 2,473.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.