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Finding the Third Proportional to 499.08 and 1,055.11

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Solution

The third proportional to 499.08 and 1,055.11 is: 2,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 1,055.11 = 1,055.11 : x
  2. Step 2: Convert to fraction form
    499.08/1,055.11 = 1,055.11/x
  3. Step 3: Cross multiply
    499.08x = 1,055.11 × 1,055.11
  4. Step 4: Simplify right side
    499.08x = 1,113,255.79
  5. Step 5: Solve for x
    x = 1,113,255.79/499.08
  6. Step 6: Final answer
    x = 2,230.62

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Why These Related Problems?

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