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Finding the Third Proportional to 431.44 and 923.63

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Solution

The third proportional to 431.44 and 923.63 is: 1,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 923.63 = 923.63 : x
  2. Step 2: Convert to fraction form
    431.44/923.63 = 923.63/x
  3. Step 3: Cross multiply
    431.44x = 923.63 × 923.63
  4. Step 4: Simplify right side
    431.44x = 853,083.14
  5. Step 5: Solve for x
    x = 853,083.14/431.44
  6. Step 6: Final answer
    x = 1,977.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.