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Finding the Third Proportional to 588.19 and 1,232.06

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Solution

The third proportional to 588.19 and 1,232.06 is: 2,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.19 : 1,232.06 = 1,232.06 : x
  2. Step 2: Convert to fraction form
    588.19/1,232.06 = 1,232.06/x
  3. Step 3: Cross multiply
    588.19x = 1,232.06 × 1,232.06
  4. Step 4: Simplify right side
    588.19x = 1,517,978.00
  5. Step 5: Solve for x
    x = 1,517,978.00/588.19
  6. Step 6: Final answer
    x = 2,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.