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Finding the Third Proportional to 353.53 and 562.92

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Solution

The third proportional to 353.53 and 562.92 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.53 : 562.92 = 562.92 : x
  2. Step 2: Convert to fraction form
    353.53/562.92 = 562.92/x
  3. Step 3: Cross multiply
    353.53x = 562.92 × 562.92
  4. Step 4: Simplify right side
    353.53x = 316,881.04
  5. Step 5: Solve for x
    x = 316,881.04/353.53
  6. Step 6: Final answer
    x = 896.33

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