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Finding the Third Proportional to 365.63 and 748.27

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Solution

The third proportional to 365.63 and 748.27 is: 1,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 748.27 = 748.27 : x
  2. Step 2: Convert to fraction form
    365.63/748.27 = 748.27/x
  3. Step 3: Cross multiply
    365.63x = 748.27 × 748.27
  4. Step 4: Simplify right side
    365.63x = 559,901.45
  5. Step 5: Solve for x
    x = 559,901.45/365.63
  6. Step 6: Final answer
    x = 1,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.