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Finding the Third Proportional to 356.06 and 446.91

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Solution

The third proportional to 356.06 and 446.91 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.06 : 446.91 = 446.91 : x
  2. Step 2: Convert to fraction form
    356.06/446.91 = 446.91/x
  3. Step 3: Cross multiply
    356.06x = 446.91 × 446.91
  4. Step 4: Simplify right side
    356.06x = 199,725.20
  5. Step 5: Solve for x
    x = 199,725.20/356.06
  6. Step 6: Final answer
    x = 560.93

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.