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Finding the Third Proportional to 354.75 and 553.13

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Solution

The third proportional to 354.75 and 553.13 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 553.13 = 553.13 : x
  2. Step 2: Convert to fraction form
    354.75/553.13 = 553.13/x
  3. Step 3: Cross multiply
    354.75x = 553.13 × 553.13
  4. Step 4: Simplify right side
    354.75x = 305,947.27
  5. Step 5: Solve for x
    x = 305,947.27/354.75
  6. Step 6: Final answer
    x = 862.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.