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Finding the Third Proportional to 262.41 and 417.66

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Solution

The third proportional to 262.41 and 417.66 is: 664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 417.66 = 417.66 : x
  2. Step 2: Convert to fraction form
    262.41/417.66 = 417.66/x
  3. Step 3: Cross multiply
    262.41x = 417.66 × 417.66
  4. Step 4: Simplify right side
    262.41x = 174,436.74
  5. Step 5: Solve for x
    x = 174,436.74/262.41
  6. Step 6: Final answer
    x = 664.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.