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Finding the Third Proportional to 264.09 and 401.63

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Solution

The third proportional to 264.09 and 401.63 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 401.63 = 401.63 : x
  2. Step 2: Convert to fraction form
    264.09/401.63 = 401.63/x
  3. Step 3: Cross multiply
    264.09x = 401.63 × 401.63
  4. Step 4: Simplify right side
    264.09x = 161,302.64
  5. Step 5: Solve for x
    x = 161,302.64/264.09
  6. Step 6: Final answer
    x = 610.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.