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Finding the Third Proportional to 499.03 and 1,054.31

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Solution

The third proportional to 499.03 and 1,054.31 is: 2,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.03 : 1,054.31 = 1,054.31 : x
  2. Step 2: Convert to fraction form
    499.03/1,054.31 = 1,054.31/x
  3. Step 3: Cross multiply
    499.03x = 1,054.31 × 1,054.31
  4. Step 4: Simplify right side
    499.03x = 1,111,574.85
  5. Step 5: Solve for x
    x = 1,111,574.85/499.03
  6. Step 6: Final answer
    x = 2,227.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.