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Finding the Third Proportional to 228,884.91 and 497,175.05

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Solution

The third proportional to 228,884.91 and 497,175.05 is: 1,079,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,884.91 : 497,175.05 = 497,175.05 : x
  2. Step 2: Convert to fraction form
    228,884.91/497,175.05 = 497,175.05/x
  3. Step 3: Cross multiply
    228,884.91x = 497,175.05 × 497,175.05
  4. Step 4: Simplify right side
    228,884.91x = 247,183,027,235.16
  5. Step 5: Solve for x
    x = 247,183,027,235.16/228,884.91
  6. Step 6: Final answer
    x = 1,079,944.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.