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Finding the Third Proportional to 736.49 and 1,588.31

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Solution

The third proportional to 736.49 and 1,588.31 is: 3,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.49 : 1,588.31 = 1,588.31 : x
  2. Step 2: Convert to fraction form
    736.49/1,588.31 = 1,588.31/x
  3. Step 3: Cross multiply
    736.49x = 1,588.31 × 1,588.31
  4. Step 4: Simplify right side
    736.49x = 2,522,717.98
  5. Step 5: Solve for x
    x = 2,522,717.98/736.49
  6. Step 6: Final answer
    x = 3,425.33

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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.