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Finding the Third Proportional to 228,891 and 497,186

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Solution

The third proportional to 228,891 and 497,186 is: 1,079,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,891 : 497,186 = 497,186 : x
  2. Step 2: Convert to fraction form
    228,891/497,186 = 497,186/x
  3. Step 3: Cross multiply
    228,891x = 497,186 × 497,186
  4. Step 4: Simplify right side
    228,891x = 247,193,918,596
  5. Step 5: Solve for x
    x = 247,193,918,596/228,891
  6. Step 6: Final answer
    x = 1,079,963.47

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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.