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Finding the Third Proportional to 553.50 and 723.38

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Solution

The third proportional to 553.50 and 723.38 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 723.38 = 723.38 : x
  2. Step 2: Convert to fraction form
    553.50/723.38 = 723.38/x
  3. Step 3: Cross multiply
    553.50x = 723.38 × 723.38
  4. Step 4: Simplify right side
    553.50x = 523,271.39
  5. Step 5: Solve for x
    x = 523,271.39/553.50
  6. Step 6: Final answer
    x = 945.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.