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Finding the Third Proportional to 228,885.75 and 497,175.47

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Solution

The third proportional to 228,885.75 and 497,175.47 is: 1,079,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,885.75 : 497,175.47 = 497,175.47 : x
  2. Step 2: Convert to fraction form
    228,885.75/497,175.47 = 497,175.47/x
  3. Step 3: Cross multiply
    228,885.75x = 497,175.47 × 497,175.47
  4. Step 4: Simplify right side
    228,885.75x = 247,183,446,726.78
  5. Step 5: Solve for x
    x = 247,183,446,726.78/228,885.75
  6. Step 6: Final answer
    x = 1,079,942.49

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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.