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Finding the Third Proportional to 635.34 and 1,464.33

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Solution

The third proportional to 635.34 and 1,464.33 is: 3,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 1,464.33 = 1,464.33 : x
  2. Step 2: Convert to fraction form
    635.34/1,464.33 = 1,464.33/x
  3. Step 3: Cross multiply
    635.34x = 1,464.33 × 1,464.33
  4. Step 4: Simplify right side
    635.34x = 2,144,256.86
  5. Step 5: Solve for x
    x = 2,144,256.86/635.34
  6. Step 6: Final answer
    x = 3,374.96

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.