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Finding the Third Proportional to 228,886 and 497,177

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Solution

The third proportional to 228,886 and 497,177 is: 1,079,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,886 : 497,177 = 497,177 : x
  2. Step 2: Convert to fraction form
    228,886/497,177 = 497,177/x
  3. Step 3: Cross multiply
    228,886x = 497,177 × 497,177
  4. Step 4: Simplify right side
    228,886x = 247,184,969,329
  5. Step 5: Solve for x
    x = 247,184,969,329/228,886
  6. Step 6: Final answer
    x = 1,079,947.96

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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.