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Finding the Third Proportional to 586.75 and 1,190.38

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Solution

The third proportional to 586.75 and 1,190.38 is: 2,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.75 : 1,190.38 = 1,190.38 : x
  2. Step 2: Convert to fraction form
    586.75/1,190.38 = 1,190.38/x
  3. Step 3: Cross multiply
    586.75x = 1,190.38 × 1,190.38
  4. Step 4: Simplify right side
    586.75x = 1,416,992.64
  5. Step 5: Solve for x
    x = 1,416,992.64/586.75
  6. Step 6: Final answer
    x = 2,414.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.