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Finding the Third Proportional to 446 and 658

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Solution

The third proportional to 446 and 658 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 658 = 658 : x
  2. Step 2: Convert to fraction form
    446/658 = 658/x
  3. Step 3: Cross multiply
    446x = 658 × 658
  4. Step 4: Simplify right side
    446x = 432,964
  5. Step 5: Solve for x
    x = 432,964/446
  6. Step 6: Final answer
    x = 970.77

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