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Finding the Third Proportional to 586.13 and 1,288.38

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Solution

The third proportional to 586.13 and 1,288.38 is: 2,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 1,288.38 = 1,288.38 : x
  2. Step 2: Convert to fraction form
    586.13/1,288.38 = 1,288.38/x
  3. Step 3: Cross multiply
    586.13x = 1,288.38 × 1,288.38
  4. Step 4: Simplify right side
    586.13x = 1,659,910.14
  5. Step 5: Solve for x
    x = 1,659,910.14/586.13
  6. Step 6: Final answer
    x = 2,832.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.