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Finding the Third Proportional to 553.50 and 800.30

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Solution

The third proportional to 553.50 and 800.30 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 800.30 = 800.30 : x
  2. Step 2: Convert to fraction form
    553.50/800.30 = 800.30/x
  3. Step 3: Cross multiply
    553.50x = 800.30 × 800.30
  4. Step 4: Simplify right side
    553.50x = 640,475.09
  5. Step 5: Solve for x
    x = 640,475.09/553.50
  6. Step 6: Final answer
    x = 1,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.