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Finding the Third Proportional to 500.03 and 737.17

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Solution

The third proportional to 500.03 and 737.17 is: 1,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 737.17 = 737.17 : x
  2. Step 2: Convert to fraction form
    500.03/737.17 = 737.17/x
  3. Step 3: Cross multiply
    500.03x = 737.17 × 737.17
  4. Step 4: Simplify right side
    500.03x = 543,425.25
  5. Step 5: Solve for x
    x = 543,425.25/500.03
  6. Step 6: Final answer
    x = 1,086.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.