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Finding the Third Proportional to 588.66 and 1,253.53

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Solution

The third proportional to 588.66 and 1,253.53 is: 2,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 1,253.53 = 1,253.53 : x
  2. Step 2: Convert to fraction form
    588.66/1,253.53 = 1,253.53/x
  3. Step 3: Cross multiply
    588.66x = 1,253.53 × 1,253.53
  4. Step 4: Simplify right side
    588.66x = 1,571,340.59
  5. Step 5: Solve for x
    x = 1,571,340.59/588.66
  6. Step 6: Final answer
    x = 2,669.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.