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Finding the Third Proportional to 588.23 and 1,269.14

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Solution

The third proportional to 588.23 and 1,269.14 is: 2,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.23 : 1,269.14 = 1,269.14 : x
  2. Step 2: Convert to fraction form
    588.23/1,269.14 = 1,269.14/x
  3. Step 3: Cross multiply
    588.23x = 1,269.14 × 1,269.14
  4. Step 4: Simplify right side
    588.23x = 1,610,717.93
  5. Step 5: Solve for x
    x = 1,610,717.93/588.23
  6. Step 6: Final answer
    x = 2,738.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.