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Finding the Third Proportional to 293.63 and 638.51

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Solution

The third proportional to 293.63 and 638.51 is: 1,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 638.51 = 638.51 : x
  2. Step 2: Convert to fraction form
    293.63/638.51 = 638.51/x
  3. Step 3: Cross multiply
    293.63x = 638.51 × 638.51
  4. Step 4: Simplify right side
    293.63x = 407,692.23
  5. Step 5: Solve for x
    x = 407,692.23/293.63
  6. Step 6: Final answer
    x = 1,388.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.